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...

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

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

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...

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

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

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

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

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

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...

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...

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...

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...

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...

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

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

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...

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

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

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

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...

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

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

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...

representation may refer to: A group action, see also Permutation representation A representation of a symmetric group (see Representation theory of the...

mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear and symmetric groups. Schur–Weyl duality...

of the group algebra of the symmetric group S n {\displaystyle S_{n}} whose natural action on tensor products V ⊗ n {\displaystyle V^{\otimes n}} of a...