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arXiv · 0903.1043

Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)

Dan Ciubotaru·Peter E. Trapa
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Abstract

We define an exact functor $F_{n,k}$ from the category of Harish-Chandra modules for $GL(n,R)$ to the category of finite-dimensional representations for the degenerate affine Hecke algebra for $gl(k)$. Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).

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BibTeXRIS

Dan Ciubotaru, Peter E. Trapa. 2009-03-06. Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n). https://arxiv.org/abs/0903.1043

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