In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete...

automorphism groups, and their representation theory. For the remainder of this article, "symmetric group" will mean a symmetric group on a finite set. The symmetric...

In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector...

as a group with certain generators and relations. They are studied in combinatorics and representation theory. A finite symmetric group consists of all...

The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations...

this ring plays an important role in the representation theory of the symmetric group. The ring of symmetric functions can be given a coproduct and...

representations in the representation theory of the symmetric group, or in the area of algebraic combinatorics dealing with Young tableaux and symmetric polynomials...

exponential. The full finite-dimensional representation theory of the universal covering group (and also the spin group, a double cover) SL ( 2 , C ) {\displaystyle...

MR 0513828 James, Gordon; Kerber, Adalbert (1981), The representation theory of the symmetric group, Encyclopedia of Mathematics and its Applications, vol. 16...

most famous for his work on combinatorics and representation theory of the symmetric groups, including the Robinson-Schensted algorithm. Gilbert Robinson...

In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a...

historically the first) is the representation theory of groups, in which elements of a group are represented by invertible matrices such that the group operation...

permutation group Rank 3 permutation group Representation theory of the symmetric group Schreier vector Strong generating set Symmetric group Symmetric inverse...

to the setting of pseudo-Riemannian manifolds. From the point of view of Lie theory, a symmetric space is the quotient G / H of a connected Lie group G...

They play an important role in the representation theory of the symmetric group. They generate a commutative subalgebra of C [ S n ] {\displaystyle \mathbb...

Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over...

is isomorphic to a subgroup of a symmetric group. More specifically, G is isomorphic to a subgroup of the symmetric group Sym ⁡ ( G ) {\displaystyle \operatorname...

representations of the affine Hecke algebras at roots of 1 (generalising results of Kazhdan and Lusztig), the representation theory of the symmetric groups Sn in...

A symmetric space is, in differential geometry and representation theory, a smooth manifold whose group of symmetries contains an "inversion symmetry"...

subrepresentations of the action of the symmetric group on the ring of polynomials, as discussed in representation theory of the symmetric group. Alternating...

In mathematics, and especially the discipline of representation theory, the Schur indicator, named after Issai Schur, or Frobenius–Schur indicator describes...

area of abstract algebra known as representation theory, a faithful representation ρ of a group G on a vector space V is a linear representation in which...

group Representation theory of the Lorentz group Representation theory of the Poincaré group Representation theory of the symmetric group Ribbon theory a...

The second tensor power of a linear representation V of a group G decomposes as the direct sum of the symmetric and alternating squares: V ⊗ 2 = V ⊗...

In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...

symmetric polynomials. In representation theory they are the characters of polynomial irreducible representations of the general linear groups. The Schur...

useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general...

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...

normal metacyclic subgroup such that the quotient is a subgroup of the symmetric group on 4 points. A finite group is a Frobenius complement if and only...

representation theory of the symmetric group and symmetric polynomials. Given a function in k {\displaystyle k} variables, one can obtain a symmetric...