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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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.
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页码：427 / 442
页数：15
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