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arXiv · 1005.1134

Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type A

Masanori Ando·Takeshi Suzuki·Hiro-Fumi Yamada
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Abstract

A $q$-analogue of combinatorics concerning the Cartan matrix 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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Masanori Ando, Takeshi Suzuki, Hiro-Fumi Yamada. 2012-03-22. Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type A. https://arxiv.org/abs/1005.1134

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