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

Masanori Ando, Takeshi Suzuki, Hiro Fumi Yamada

Research output: Contribution to journalArticle

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

Fingerprint

Iwahori-Hecke Algebra
Cartan Matrix
Combinatorics
Combinatorial Identities
Divisor
Determinant
Imply

Keywords

  • Cartan matrices
  • Iwahori-Hecke algebras
  • Young diagrams

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

Cite this

Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A. / Ando, Masanori; Suzuki, Takeshi; Yamada, Hiro Fumi.

In: Annals of Combinatorics, Vol. 17, No. 3, 09.2013, p. 427-442.

Research output: Contribution to journalArticle

Ando, Masanori ; Suzuki, Takeshi ; Yamada, Hiro Fumi. / Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A. In: Annals of Combinatorics. 2013 ; Vol. 17, No. 3. pp. 427-442.
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