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

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

2004-11-21

arxiv.org/abs/math/0411461v3

Mathematics

Representation Theory

18 pages, final version, to appear in JPAA

Scientific paper

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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