Table of Contents
81 relations: Abstract algebra, Affine space, Alain Lascoux, Alfred Young (mathematician), Algebraic Combinatorics (journal), Algebraic graph theory, American Mathematical Society, Association scheme, Banff International Research Station, Benz plane, Binary relation, Cambridge University Press, Cameron–Fon-Der-Flaass IBIS theorem, Character theory, Coding theory, Combinatorial commutative algebra, Combinatorial design, Combinatorial optimization, Combinatorics, Commutative algebra, Complement graph, Enumerative combinatorics, Euclidean geometry, Ferdinand Georg Frobenius, Finite field, Finite geometry, Finite set, Galois geometry, General linear group, Geometry, Gian-Carlo Rota, Gilbert de Beauregard Robinson, Graduate Texts in Mathematics, Graph theory, Group (mathematics), Group action, Group representation, Group theory, Integer, Internet Archive, Inversive geometry, Isomorphism, Journal of Algebraic Combinatorics, Laguerre plane, Lattice (order), Linear algebra, Linear independence, Marcel-Paul Schützenberger, Mathematician, Mathematics, ... Expand index (31 more) »
Abstract algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements.
See Algebraic combinatorics and Abstract algebra
Affine space
In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments.
See Algebraic combinatorics and Affine space
Alain Lascoux
Alain Lascoux (17 October 1944 – 20 October 2013) was a French mathematician at Université de Paris VII, University of Marne la Vallée and Nankai University.
See Algebraic combinatorics and Alain Lascoux
Alfred Young (mathematician)
Alfred Young, FRS (16 April 1873 – 15 December 1940) was a British mathematician.
See Algebraic combinatorics and Alfred Young (mathematician)
Algebraic Combinatorics (journal)
Algebraic Combinatorics is a peer-reviewed diamond open access mathematical journal specializing in the field of algebraic combinatorics.
See Algebraic combinatorics and Algebraic Combinatorics (journal)
Algebraic graph theory
Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs.
See Algebraic combinatorics and Algebraic graph theory
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
See Algebraic combinatorics and American Mathematical Society
Association scheme
The theory of association schemes arose in statistics, in the theory of experimental design for the analysis of variance.
See Algebraic combinatorics and Association scheme
Banff International Research Station
The Banff International Research Station (BIRS) for Mathematical Innovation and Discovery was established in 2003.
See Algebraic combinatorics and Banff International Research Station
Benz plane
In mathematics, a Benz plane is a type of 2-dimensional geometrical structure, named after the German mathematician Walter Benz.
See Algebraic combinatorics and Benz plane
Binary relation
In mathematics, a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain.
See Algebraic combinatorics and Binary relation
Cambridge University Press
Cambridge University Press is the university press of the University of Cambridge.
See Algebraic combinatorics and Cambridge University Press
Cameron–Fon-Der-Flaass IBIS theorem
In mathematics, Cameron–Fon-Der-Flaass IBIS theorem arises in the dynamical algebraic combinatorics.
See Algebraic combinatorics and Cameron–Fon-Der-Flaass IBIS theorem
Character theory
In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix.
See Algebraic combinatorics and Character theory
Coding theory
Coding theory is the study of the properties of codes and their respective fitness for specific applications.
See Algebraic combinatorics and Coding theory
Combinatorial commutative algebra
Combinatorial commutative algebra is a relatively new, rapidly developing mathematical discipline.
See Algebraic combinatorics and Combinatorial commutative algebra
Combinatorial design
Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of balance and/or symmetry.
See Algebraic combinatorics and Combinatorial design
Combinatorial optimization
Combinatorial optimization is a subfield of mathematical optimization that consists of finding an optimal object from a finite set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set.
See Algebraic combinatorics and Combinatorial optimization
Combinatorics
Combinatorics is an area of mathematics primarily concerned with the counting, selecting and arranging of objects, both as a means and as an end in itself.
See Algebraic combinatorics and Combinatorics
Commutative algebra
Commutative algebra, first known as ideal theory, is the branch of algebra that studies commutative rings, their ideals, and modules over such rings.
See Algebraic combinatorics and Commutative algebra
Complement graph
In the mathematical field of graph theory, the complement or inverse of a graph is a graph on the same vertices such that two distinct vertices of are adjacent if and only if they are not adjacent in.
See Algebraic combinatorics and Complement graph
Enumerative combinatorics
Enumerative combinatorics is an area of combinatorics that deals with the number of ways that certain patterns can be formed.
See Algebraic combinatorics and Enumerative combinatorics
Euclidean geometry
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.
See Algebraic combinatorics and Euclidean geometry
Ferdinand Georg Frobenius
Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory.
See Algebraic combinatorics and Ferdinand Georg Frobenius
Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
See Algebraic combinatorics and Finite field
Finite geometry
A finite geometry is any geometric system that has only a finite number of points.
See Algebraic combinatorics and Finite geometry
Finite set
In mathematics, particularly set theory, a finite set is a set that has a finite number of elements.
See Algebraic combinatorics and Finite set
Galois geometry
Galois geometry (so named after the 19th-century French mathematician Évariste Galois) is the branch of finite geometry that is concerned with algebraic and analytic geometry over a finite field (or Galois field).
See Algebraic combinatorics and Galois geometry
General linear group
In mathematics, the general linear group of degree n is the set of invertible matrices, together with the operation of ordinary matrix multiplication.
See Algebraic combinatorics and General linear group
Geometry
Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.
See Algebraic combinatorics and Geometry
Gian-Carlo Rota
Gian-Carlo Rota (April 27, 1932 – April 18, 1999) was an Italian-American mathematician and philosopher.
See Algebraic combinatorics and Gian-Carlo Rota
Gilbert de Beauregard Robinson
Gilbert de Beauregard Robinson, MBE (3 June 1906 – 8 April 1992) was a Canadian mathematician most famous for his work on combinatorics and representation theory of the symmetric groups, including the Robinson-Schensted algorithm.
See Algebraic combinatorics and Gilbert de Beauregard Robinson
Graduate Texts in Mathematics
Graduate Texts in Mathematics (GTM) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.
See Algebraic combinatorics and Graduate Texts in Mathematics
Graph theory
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.
See Algebraic combinatorics and Graph theory
Group (mathematics)
In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.
See Algebraic combinatorics and Group (mathematics)
Group action
In mathematics, many sets of transformations form a group under function composition; for example, the rotations around a point in the plane.
See Algebraic combinatorics and Group action
Group representation
In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to represent group elements as invertible matrices so that the group operation can be represented by matrix multiplication.
See Algebraic combinatorics and Group representation
Group theory
In abstract algebra, group theory studies the algebraic structures known as groups.
See Algebraic combinatorics and Group theory
Integer
An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.
See Algebraic combinatorics and Integer
Internet Archive
The Internet Archive is an American nonprofit digital library founded in 1996 by Brewster Kahle.
See Algebraic combinatorics and Internet Archive
Inversive geometry
In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines and that preserves the angles between crossing curves.
See Algebraic combinatorics and Inversive geometry
Isomorphism
In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping.
See Algebraic combinatorics and Isomorphism
Journal of Algebraic Combinatorics
Journal of Algebraic Combinatorics is a peer-reviewed scientific journal covering algebraic combinatorics.
See Algebraic combinatorics and Journal of Algebraic Combinatorics
Laguerre plane
In mathematics, a Laguerre plane is one of the three types of Benz plane, which are the Möbius plane, Laguerre plane and Minkowski plane.
See Algebraic combinatorics and Laguerre plane
Lattice (order)
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.
See Algebraic combinatorics and Lattice (order)
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices.
See Algebraic combinatorics and Linear algebra
Linear independence
In the theory of vector spaces, a set of vectors is said to be if there exists no nontrivial linear combination of the vectors that equals the zero vector.
See Algebraic combinatorics and Linear independence
Marcel-Paul Schützenberger
Marcel-Paul "Marco" Schützenberger (24 October 1920 – 29 July 1996) was a French mathematician and Doctor of Medicine.
See Algebraic combinatorics and Marcel-Paul Schützenberger
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems.
See Algebraic combinatorics and Mathematician
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
See Algebraic combinatorics and Mathematics
Mathematics Subject Classification
The Mathematics Subject Classification (MSC) is an alphanumerical classification scheme that has collaboratively been produced by staff of, and based on the coverage of, the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH.
See Algebraic combinatorics and Mathematics Subject Classification
Matroid
In combinatorics, a branch of mathematics, a matroid is a structure that abstracts and generalizes the notion of linear independence in vector spaces.
See Algebraic combinatorics and Matroid
Möbius plane
In mathematics, the classical Möbius plane (named after August Ferdinand Möbius) is the Euclidean plane supplemented by a single point at infinity.
See Algebraic combinatorics and Möbius plane
Neighbourhood (graph theory)
In graph theory, an adjacent vertex of a vertex in a graph is a vertex that is connected to by an edge.
See Algebraic combinatorics and Neighbourhood (graph theory)
Network theory
In mathematics, computer science and network science, network theory is a part of graph theory.
See Algebraic combinatorics and Network theory
Non-Desarguesian plane
In mathematics, a non-Desarguesian plane is a projective plane that does not satisfy Desargues' theorem (named after Girard Desargues), or in other words a plane that is not a Desarguesian plane.
See Algebraic combinatorics and Non-Desarguesian plane
Partially ordered set
In mathematics, especially order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other.
See Algebraic combinatorics and Partially ordered set
Percy Alexander MacMahon
Percy Alexander MacMahon (26 September 1854 – 25 December 1929) was an English mathematician, especially noted in connection with the partitions of numbers and enumerative combinatorics.
See Algebraic combinatorics and Percy Alexander MacMahon
Pixel
In digital imaging, a pixel (abbreviated px), pel, or picture element is the smallest addressable element in a raster image, or the smallest addressable element in a dot matrix display device.
See Algebraic combinatorics and Pixel
Point (geometry)
In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical spaces.
See Algebraic combinatorics and Point (geometry)
Polyhedral combinatorics
Polyhedral combinatorics is a branch of mathematics, within combinatorics and discrete geometry, that studies the problems of counting and describing the faces of convex polyhedra and higher-dimensional convex polytopes.
See Algebraic combinatorics and Polyhedral combinatorics
Polytope
In elementary geometry, a polytope is a geometric object with flat sides (faces).
See Algebraic combinatorics and Polytope
Projective plane
In mathematics, a projective plane is a geometric structure that extends the concept of a plane.
See Algebraic combinatorics and Projective plane
Projective space
In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet at infinity.
See Algebraic combinatorics and Projective space
Regular graph
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency.
See Algebraic combinatorics and Regular graph
Representation theory
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
See Algebraic combinatorics and Representation theory
Representation theory of the symmetric group
In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be obtained.
See Algebraic combinatorics and Representation theory of the symmetric group
Richard P. Stanley
Richard Peter Stanley (born June 23, 1944) is an Emeritus Professor of Mathematics at the Massachusetts Institute of Technology, and an Arts and Sciences Distinguished Scholar at the University of Miami.
See Algebraic combinatorics and Richard P. Stanley
Ring of symmetric functions
In algebra and in particular in algebraic combinatorics, the ring of symmetric functions is a specific limit of the rings of symmetric polynomials in n indeterminates, as n goes to infinity.
See Algebraic combinatorics and Ring of symmetric functions
Schubert calculus
In mathematics, Schubert calculus is a branch of algebraic geometry introduced in the nineteenth century by Hermann Schubert in order to solve various counting problems of projective geometry and, as such, is viewed as part of enumerative geometry.
See Algebraic combinatorics and Schubert calculus
Strongly regular graph
In graph theory, a strongly regular graph (SRG) is a regular graph with vertices and degree such that for some given integers \lambda, \mu \ge 0.
See Algebraic combinatorics and Strongly regular graph
Symmetric function
In mathematics, a function of n variables is symmetric if its value is the same no matter the order of its arguments.
See Algebraic combinatorics and Symmetric function
Symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
See Algebraic combinatorics and Symmetric group
Symmetric polynomial
In mathematics, a symmetric polynomial is a polynomial in variables, such that if any of the variables are interchanged, one obtains the same polynomial.
See Algebraic combinatorics and Symmetric polynomial
Symmetry in mathematics
Symmetry occurs not only in geometry, but also in other branches of mathematics.
See Algebraic combinatorics and Symmetry in mathematics
The Princeton Companion to Mathematics
The Princeton Companion to Mathematics is a book providing an extensive overview of mathematics that was published in 2008 by Princeton University Press.
See Algebraic combinatorics and The Princeton Companion to Mathematics
Topology
Topology (from the Greek words, and) is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself.
See Algebraic combinatorics and Topology
University of Cambridge
The University of Cambridge is a public collegiate research university in Cambridge, England.
See Algebraic combinatorics and University of Cambridge
Vector space
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.
See Algebraic combinatorics and Vector space
W. V. D. Hodge
Sir William Vallance Douglas Hodge (17 June 1903 – 7 July 1975) was a British mathematician, specifically a geometer.
See Algebraic combinatorics and W. V. D. Hodge
Young tableau
In mathematics, a Young tableau (plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus.
See Algebraic combinatorics and Young tableau