Type $A$ admissible cells are Kazhdan–Lusztig
Type $A$ admissible cells are Kazhdan–Lusztig
复制标题
$A$ 型允许细胞为 Kazhdan–Lusztig
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
V. M. Nguyen
中科院分区：
文献类型：
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作者：
V. M. Nguyen
Stembridge在文献[12]中定义了容许W-图并对其进行了组合刻画。容许W-图理论的产生是由于需要构造Kazhdan-Lusztig胞腔的W-图，而不需要计算Kazhdan-Lusztig多项式，这在Hecke代数的表示理论中起着重要的作用。本文证明了A型容许W-胞腔是Stembridge在其原始论文中所证明的Kazhdan-Lusztig。
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.
影响因子：
4.9
作者：
Ben Elias;G. Williamson
通讯作者：
Ben Elias;G. Williamson