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arXiv:1509.05991 [math.RT]AbstractReferencesReviewsResources

A decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2

Xun Xie

Published 2015-09-20Version 1

In this paper, we prove a decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2 with positive weight function. Then we discuss some applications of this kind of decomposition to Lusztig's conjectures P1-P15.

Comments: 28 pages, 2 figures
Categories: math.RT
Subjects: 20C08
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