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

Masanori Ando, Takeshi Suzuki, Hiro Fumi Yamada

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5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)427-442
Number of pages16
JournalAnnals of Combinatorics
Volume17
Issue number3
DOIs
Publication statusPublished - Sep 2013

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Keywords

  • Cartan matrices
  • Iwahori-Hecke algebras
  • Young diagrams

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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