Faster access than browser!Similarities between General linear group and Group representation
General linear group and Group representation have 25 things in common (in Unionpedia): Affine space, Automorphism, Basis (linear algebra), Bijection, Characteristic (algebra), Complex number, Continuous function, Field (mathematics), Finite field, Group (mathematics), Group action, Group homomorphism, Hilbert space, Invertible matrix, Isomorphism, Lie group, Linear map, Mathematics, Matrix multiplication, Projective space, Real number, Semidirect product, Symmetric group, Vector space, Zariski topology.
Affine space
In mathematics, an affine space is a geometric structure that generalizes 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.
Affine space and General linear group · Affine space and Group representation ·
Automorphism
In mathematics, an automorphism is an isomorphism from a mathematical object to itself.
Automorphism and General linear group · Automorphism and Group representation ·
Basis (linear algebra)
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set.
Basis (linear algebra) and General linear group · Basis (linear algebra) and Group representation ·
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
Bijection and General linear group · Bijection and Group representation ·
Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.
Characteristic (algebra) and General linear group · Characteristic (algebra) and Group representation ·
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
Complex number and General linear group · Complex number and Group representation ·
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
Continuous function and General linear group · Continuous function and Group representation ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Field (mathematics) and General linear group · Field (mathematics) and Group representation ·
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.
Finite field and General linear group · Finite field and Group representation ·
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
General linear group and Group (mathematics) · Group (mathematics) and Group representation ·
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
General linear group and Group action · Group action and Group representation ·
Group homomorphism
In mathematics, given two groups, (G, ∗) and (H, ·), a group homomorphism from (G, ∗) to (H, ·) is a function h: G → H such that for all u and v in G it holds that where the group operation on the left hand side of the equation is that of G and on the right hand side that of H. From this property, one can deduce that h maps the identity element eG of G to the identity element eH of H, and it also maps inverses to inverses in the sense that Hence one can say that h "is compatible with the group structure".
General linear group and Group homomorphism · Group homomorphism and Group representation ·
Hilbert space
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.
General linear group and Hilbert space · Group representation and Hilbert space ·
Invertible matrix
In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.
General linear group and Invertible matrix · Group representation and Invertible matrix ·
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
General linear group and Isomorphism · Group representation and Isomorphism ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
General linear group and Lie group · Group representation and Lie group ·
Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
General linear group and Linear map · Group representation and Linear map ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
General linear group and Mathematics · Group representation and Mathematics ·
Matrix multiplication
In mathematics, matrix multiplication or matrix product is a binary operation that produces a matrix from two matrices with entries in a field, or, more generally, in a ring or even a semiring.
General linear group and Matrix multiplication · Group representation and Matrix multiplication ·
Projective space
In mathematics, a projective space can be thought of as the set of lines through the origin of a vector space V. The cases when and are the real projective line and the real projective plane, respectively, where R denotes the field of real numbers, R2 denotes ordered pairs of real numbers, and R3 denotes ordered triplets of real numbers.
General linear group and Projective space · Group representation and Projective space ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
General linear group and Real number · Group representation and Real number ·
Semidirect product
In mathematics, specifically in group theory, the concept of a semidirect product is a generalization of a direct product.
General linear group and Semidirect product · Group representation and Semidirect product ·
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.
General linear group and Symmetric group · Group representation and Symmetric group ·
Vector space
A vector space (also called a linear space) is a collection of objects called vectors, which may be added together and multiplied ("scaled") by numbers, called scalars.
General linear group and Vector space · Group representation and Vector space ·
Zariski topology
In algebraic geometry and commutative algebra, the Zariski topology is a topology on algebraic varieties, introduced primarily by Oscar Zariski and later generalized for making the set of prime ideals of a commutative ring a topological space, called the spectrum of the ring.
General linear group and Zariski topology · Group representation and Zariski topology ·
The list above answers the following questions
- What General linear group and Group representation have in common
- What are the similarities between General linear group and Group representation
General linear group and Group representation Comparison
General linear group has 120 relations, while Group representation has 83. As they have in common 25, the Jaccard index is 12.32% = 25 / (120 + 83).
References
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