Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)
Representation Theory
2009-03-06 v2
Abstract
We define an exact functor from the category of Harish-Chandra modules for to the category of finite-dimensional representations for the degenerate affine Hecke algebra for . Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).
Keywords
Cite
@article{arxiv.0903.1043,
title = {Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)},
author = {Dan Ciubotaru and Peter E. Trapa},
journal= {arXiv preprint arXiv:0903.1043},
year = {2009}
}
Comments
22 pages