ℤ/����ℤ-graded Lie algebras and perverse sheaves, III: Graded double affine Hecke algebra
Author(s)
Lusztig, George; Yun, Zhiwei
DownloadPublished version (455.3Kb)
Terms of use
Metadata
Show full item recordAbstract
© 2018 American Mathematical Society. In this paper we construct representations of certain graded double affine Hecke algebras (DAHA) with possibly unequal parameters from geometry. More precisely, starting with a simple Lie algebra g together with a ℤ/mℤ-grading ⊕i∈ℤ/mℤ gi and a block of DG0 (gi) as introduced in [J. Represent. Theory 21 (2017), pp. 277-321], we attach a graded DAHA and construct its action on the direct sum of spiral inductions in that block. This generalizes results of Vasserot [Duke Math J. 126 (2005), pp. 251-323] and Oblomkov- Yun [Adv. Math 292 (2016), pp. 601-706] which correspond to the case of the principal block.
Date issued
2018Department
Massachusetts Institute of Technology. Department of MathematicsJournal
Representation Theory of the American Mathematical Society
Publisher
American Mathematical Society (AMS)