A Lie-theoretic construction of some representations of the degenerate affine and double affine Hecke algebras of type BCn
Name
Etingof Representation Theory 2009 p.33.pdf
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Author(s)
Etingof, Pavel I.
Freund, Rebecca L.
Ma, Xiaoguang
Alternative Title
A Lie-theoretic construction of some representations of the degenerate affine and double affine Hecke algebras of type BC_n [BC subscript n]
Date Issued
February 2009
Journal
Representation Theory
Publisher
American Mathematical Society
Citation
Etingof, Pavel, Rebecca Freund, and Xiaoguang Ma. “A Lie-theoretic construction of some representations of the degenerate affine and double affine Hecke algebras of type BC_n [BC subscript n].” Representation Theory of the American Mathematical Society 13.04 (2009) : 33-49. Copyright 2009, American Mathematical Society.
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Author's final manuscript
Abstract
Let G=GL(N), K=GL(p) x GL(q), where p+q=N, and let n be a positive integer. We construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of representations of the degenerate affine Hecke algebra of type B_n [B subscript n], and a functor from the category of K-monodromic twisted D-modules on G/K to the category of representations of the degenerate double affine Hecke algebra of type BC_n [BC subscript n]; the second functor is an extension of the first one.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
http://www.ams.org/journals/ert/2009-13-04/S1088-4165-09-00345-8/home.html
