Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A

被引:0
|
作者
Masanori Ando
Takeshi Suzuki
Hiro-Fumi Yamada
机构
[1] Wakhok University,Department of Mathematics
[2] Okayama University,Department of Mathematics
来源
Annals of Combinatorics | 2013年 / 17卷
关键词
05E10; 20C30; Cartan matrices; Iwahori-Hecke algebras; Young diagrams;
D O I
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中图分类号
学科分类号
摘要
Combinatorics concerning graded Cartan matrices for the Iwahori-Hecke algebra of type A is investigated. We give several descriptions for the determinant of the graded Cartan matrix, which imply some combinatorial identities. A conjectural expression for the elementary divisors is also presented.
引用
收藏
页码:427 / 442
页数:15
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