Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A
Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A
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DOI：
10.1007/s00026-013-0197-2
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发表时间：
2010-05
影响因子：
0.5
通讯作者：
Masanori Ando;Takeshi Suzuki;Hirofumi Yamada
中科院分区：
文献类型：
--
作者：
Masanori Ando;Takeshi Suzuki;Hirofumi Yamada
研究了A型Iwahori-Hecke代数的分次Cartan矩阵的组合问题。我们给出了分次Cartan矩阵行列式的几种刻画，这些刻画蕴含着一些组合恒等式。文中还给出了初等因子的猜想表达式。
Combinatorics concerning graded Cartan matrices for the Iwahori-Hecke algebra of typeAis 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.