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arXiv · 1509.05991

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

Xun Xie
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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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BibTeXRIS

Xun Xie. 2015-09-20. A decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2. https://arxiv.org/abs/1509.05991

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