Geometric representations of $̊m GL(n,R)$, cellular Hecke algebras and the embedding problem Academic Article uri icon

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.

publication date

  • January 1, 2007