Geometric representations of GL(n,R), cellular Hecke algebras and the embedding problem

Uri Bader; Uri Onn

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arXiv · math/0411461

Geometric representations of GL(n,R), cellular Hecke algebras and the embedding problem

Uri Bader·Uri Onn

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Abstract

We study geometric representations of GL(n,R) for a ring R. The structure of the associated Hecke algebras is analyzed and shown to be cellular. Multiplicities of the irreducible constituents of these representations are linked to the embedding problem of pairs of R-modules x < y.

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Uri Bader, Uri Onn. 2006-02-01. Geometric representations of GL(n,R), cellular Hecke algebras and the embedding problem. https://arxiv.org/abs/math/0411461

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