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

2010/05/07 by Ando, Masanori, Suzuki, Takeshi, Yamada, Hiro-Fumi
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1005.1134

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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