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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...
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...
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...
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 ...
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 )...
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 ...

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