Kazhdan-Lusztig polynomials and a combinatoric for tilting modules

Soergel, Wolfgang

doi:10.1090/S1088-4165-97-00021-6

Kazhdan-Lusztig polynomials and a combinatoric for tilting modules
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by Wolfgang Soergel

Represent. Theory 1 (1997), 83-114

DOI: https://doi.org/10.1090/S1088-4165-97-00021-6

Published electronically: May 5, 1997

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Original article: Represent. Theory 1 (1997)

Abstract:

This article gives a self-contained treatment of the theory of Kazhdan-Lusztig polynomials with special emphasis on affine reflection groups. There are only a few new results but several new proofs. We close with a conjectural character formula for tilting modules, which formed the starting point of these investigations.

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