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arXiv · 1807.07457

Type A-admissible cells are Kazhdan-Lusztig

Van Minh Nguyen
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Abstract

Admissible W-graphs were defined and combinatorially characterised by Stembridge in reference [12]. The theory of admissible W-graphs was motivated by the need to construct W-graphs for Kazhdan-Lusztig cells, which play an important role in the representation theory of Hecke algebras, without computing Kazhdan-Lusztig polynomials. In this paper, we shall show that type A-admissible W-cells are Kazhdan-Lusztig as conjectured by Stembridge in his original paper.

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Van Minh Nguyen. 2018-07-19. Type A-admissible cells are Kazhdan-Lusztig. https://arxiv.org/abs/1807.07457

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