Article ID Journal Published Year Pages File Type
4597820 Journal of Pure and Applied Algebra 2007 18 Pages PDF
Abstract

We study geometric representations of GL(n,R)GL(n,R) for a ring RR. 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 RR-modules x⊂yx⊂y.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Geometric representations of GL(n,R), cellular Hecke algebras and the embedding problem
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