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

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

2010-05-07

arxiv.org/abs/1005.1134v5

Mathematics

Combinatorics

18 pages

Scientific paper

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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