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

Published 20 Sep 2015 in math.RT | (1509.05991v1)

Abstract: 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.

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