Dan Ciubotaru, Peter E. Trapa
Published 2009-03-05, updated 2009-03-06Version 2
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).
Finite-dimensional representations of twisted hyper loop algebras
Mixed hook-length formula for degenerate affine Hecke algebras
Finite-dimensional representations of hyper multicurrent and multiloop algebras
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