A Lietheoretic construction of some representations of the degenerate affine and double affine Hecke algebras of type
Authors:
Pavel Etingof, Rebecca Freund and Xiaoguang Ma
Journal:
Represent. Theory 13 (2009), 3349
MSC (2000):
Primary 16G99
Published electronically:
February 23, 2009
MathSciNet review:
2480387
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Abstract: Let , , where , and let be a positive integer. We construct a functor from the category of HarishChandra modules for the pair to the category of representations of the degenerate affine Hecke algebra of type , and a functor from the category of monodromic twisted modules on to the category of representations of the degenerate double affine Hecke algebra of type ; the second functor is an extension of the first one.
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Additional Information
Pavel Etingof
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
etingof@math.mit.edu
Rebecca Freund
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
rlfreund@mit.edu
Xiaoguang Ma
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email:
xma@math.mit.edu
DOI:
http://dx.doi.org/10.1090/S1088416509003458
PII:
S 10884165(09)003458
Received by editor(s):
January 10, 2008
Received by editor(s) in revised form:
October 14, 2008
Published electronically:
February 23, 2009
Article copyright:
© Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
