Algebraic combinatorics and Linear algebra

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Algebraic combinatorics and Linear algebra

Algebraic combinatorics vs. Linear algebra

Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algebra. Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.

Similarities between Algebraic combinatorics and Linear algebra

Algebraic combinatorics and Linear algebra have 8 things in common (in Unionpedia): Abstract algebra, Geometry, Graduate Texts in Mathematics, Isomorphism, Linear independence, Mathematics, Representation theory, Vector space.

Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

Abstract algebra and Algebraic combinatorics · Abstract algebra and Linear algebra · See more »

Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

Algebraic combinatorics and Geometry · Geometry and Linear algebra · See more »

Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.

Algebraic combinatorics and Graduate Texts in Mathematics · Graduate Texts in Mathematics and Linear algebra · See more »

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.

Algebraic combinatorics and Isomorphism · Isomorphism and Linear algebra · See more »

Linear independence

In the theory of vector spaces, a set of vectors is said to be if one of the vectors in the set can be defined as a linear combination of the others; if no vector in the set can be written in this way, then the vectors are said to be.

Algebraic combinatorics and Linear independence · Linear algebra and Linear independence · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Algebraic combinatorics and Mathematics · Linear algebra and Mathematics · See more »

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.

Algebraic combinatorics and Representation theory · Linear algebra and Representation theory · See more »

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.

Algebraic combinatorics and Vector space · Linear algebra and Vector space · See more »

The list above answers the following questions

What Algebraic combinatorics and Linear algebra have in common
What are the similarities between Algebraic combinatorics and Linear algebra

Algebraic combinatorics and Linear algebra Comparison

Algebraic combinatorics has 82 relations, while Linear algebra has 137. As they have in common 8, the Jaccard index is 3.65% = 8 / (82 + 137).

References

This article shows the relationship between Algebraic combinatorics and Linear algebra. To access each article from which the information was extracted, please visit:

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