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

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.

28 pages, 2 figures

References in corpus (1)

• Some computations about Kazhdan-Lusztig cells in affine Weyl groups of rank 2

Cited by in corpus (2)

• A proof of Lusztig's conjectures for affine type $G_2$ with arbitrary parameters
• Conjectures P1-P15 for Coxeter groups with complete graph