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

Masanori Ando; Takeshi Suzuki; Hiro-Fumi Yamada

doi:10.1007/s00026-013-0197-2

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

Masanori Ando, Takeshi Suzuki, Hiro-Fumi Yamada

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	427-442
Number of pages	16
Journal	Annals of Combinatorics
Volume	17
Issue number	3
DOIs	https://doi.org/10.1007/s00026-013-0197-2
Publication status	Published - Sept 2013

Keywords

Cartan matrices
Iwahori-Hecke algebras
Young diagrams

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1007/s00026-013-0197-2

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title = "Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A",

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.",

keywords = "Cartan matrices, Iwahori-Hecke algebras, Young diagrams",

author = "Masanori Ando and Takeshi Suzuki and Hiro-Fumi Yamada",

year = "2013",

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doi = "10.1007/s00026-013-0197-2",

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T1 - Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A

AU - Ando, Masanori

AU - Suzuki, Takeshi

AU - Yamada, Hiro-Fumi

PY - 2013/9

Y1 - 2013/9

N2 - 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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KW - Cartan matrices

KW - Iwahori-Hecke algebras

KW - Young diagrams

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

Abstract

Keywords

ASJC Scopus subject areas

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