In mathematics, a Specht module is one of the representations of symmetric groups studied by Wilhelm Specht (1935). They are indexed by partitions, and...

expressing a basis of the Specht modules Vλ in terms of standard polytabloids. Given an integer partition λ of n, one has the Specht module Vλ. In characteristic...

{\displaystyle kB_{n,\ell }} is a right S ℓ {\displaystyle S_{\ell }} -module. Given a Specht module V λ {\displaystyle V_{\lambda }} of k S ℓ {\displaystyle kS_{\ell...

Ludwig Specht (22 September 1907, Rastatt – 19 February 1985) was a German mathematician who introduced Specht modules. He also proved the Specht criterion...

representations of the symmetric group. The decategorification map sends the Specht module indexed by partition λ {\displaystyle \lambda } to the Schur function...

works over any field, and the resulting representations are called Specht modules. The Young symmetrizer is named after British mathematician Alfred Young...

general be irreducible. The modules so constructed are called Specht modules, and every irreducible does arise inside some such module. There are now fewer irreducibles...

representation corresponding to such a partition (or Young tableau) is called a Specht module. Representations of different symmetric groups are related: any representation...

}V)\otimes \operatorname {Specht} (\lambda )} where Specht ⁡ ( λ ) {\displaystyle \operatorname {Specht} (\lambda )} is the Specht module indexed by λ. Schur...

partition algebra. For example, the Brauer-Specht modules of the Brauer algebra are built from Specht modules, and certain sets of partitions. In the case...