Results 21 to 30 of about 640 (68)

Tensor products and restrictions in type A

, 2002
The goal of this article is to give an exposition of some recent results on tensor products and restrictions for rational representations of the general linear group in positive characteristic. The exposition is based on our papers [11, 12, 13].
Jonathan Brundan, A. Kleshchev
semanticscholar   +1 more source

Irreducible Specht modules are signed Young modules [PDF]

, 2005
Recently Donkin defined signed Young modules as a simultaneous generalization of Young and twisted Young modules for the symmetric group. We show that in odd characteristic, if a Specht module $S^\lambda$ is irreducible, then $S^\lambda$ is a signed ...
Hemmer, David J.
core   +3 more sources

Splines on Cayley graphs of the symmetric group

Forum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source

Differential-difference operators associated to reflection groups

, 1989
There is a theory of spherical harmonics for measures invariant under a finite reflection group. The measures are products of powers of linear functions, whose zero-sets are the mirrors of the reflections in the group, times the rotation-invariant ...
C. Dunkl
semanticscholar   +1 more source

$q$-tensor space and $q$-Weyl modules

, 1991
We obtain the irreducible representations of the q-Schur algebra, motivated by the fact that these representations give all the irreducible representations of GLn(q) in the nondescribing characteristic.
R. Dipper, G. James
semanticscholar   +1 more source

A Note on Skew Characters of Symmetric Groups

, 2016
In previous work Regev used part of the representation theory of Lie superalgebras to compute the values of a character of the symmetric group whose decomposition into irreducible constituents is described by semistandard $(k,\ell)$-tableaux.
Taylor, Jay
core   +1 more source

Improved covering results for conjugacy classes of symmetric groups via hypercontractivity

Forum of Mathematics, Sigma
We study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld   +2 more
doaj   +1 more source

Principal 2-blocks of the simple groups of Ree type

, 1980
The decomposition numbers in characteristic 2 of the groups of Ree type are determined, as well as the Loewy and socle series of the indecomposable projective modules. Moreover, we describe the Green correspondents of the simple modules.
P. Landrock, G. Michler
semanticscholar   +1 more source

All Kronecker coefficients are reduced Kronecker coefficients

Forum of Mathematics, Pi
We settle the question of where exactly do the reduced Kronecker coefficients lie on the spectrum between the Littlewood-Richardson and Kronecker coefficients by showing that every Kronecker coefficient of the symmetric group is equal to a reduced ...
Christian Ikenmeyer, Greta Panova
doaj   +1 more source

A simplification of the computation of the natural representation of the symmetric group _

, 1981
Recent use of the symmetric group S,, in processing identities in nonassociative algebras has brought a renewed interest in the natural (integral) irreducible representation of S,, [3]. Using a construction due to A. Young, H. Boemer gives a prescription
J. Clifton
semanticscholar   +1 more source