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THE STEINBERG TORUS OF A WEYL GROUP AS A MODULE OVER THE COXETER COMPLEX
Hyperplane arrangement Coxeter complex Steinberg torus
2015/8/14
Associated to each irreducible crystallographic root system , there is a certain
cell complex structure on the torus obtained as the quotient of the ambient space by the
coroot lattice of . This i...
A generalized Steinberg section and branching rules for quantum groups at roots of 1
generalized Steinberg section branching rules quantum groups
2011/8/23
Abstract: In this paper we construct a generalization of the classical Steinberg section for the quotient map of a semisimple group with respect to the conjugation action. We then give various applica...
The GL_n(q)-module structure of the symmetric algebra around the Steinberg module
GL_n(q)-module structure symmetric algebra Steinberg module
2011/1/17
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...
Complete reducibility and Steinberg endomorphisms
G-complete reducibility Steinberg endomorphism Frobenius endomorphism
2011/2/28
Let G be a connected reductive algebraic group defined over an algebraically closed field of positive characteristic. We study a generalization of the notion of G-complete reducibility in the context ...
Twisted Dickson-Mui invariants and the Steinberg module multiplicity
Twisted Dickson-Mui invariants Steinberg module multiplicity
2010/11/29
We determine the invariants, with arbitrary determinant twists, of the par-abolic subgroups of the finite general linear group GLn(q) acting on the tensor product of the symmetric algebra S•(V )...
Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant,Macdonald,Shapiro and Steinberg
Betti numbers of smooth Schubert varieties remarkable formula of Kostant Macdonald,Shapiro Steinberg
2010/12/7
The purpose of this note is to give a refinement of the product formula proved in [1] for
the Poincar´e polynomial of a smooth Schubert variety in the flag variety of an algebraic group G over ...