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.
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To Minoru Wakimoto on his seventieth birthday, with compliments
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Ando, M., Suzuki, T. & Yamada, HF. Combinatorics for Graded Cartan Matrices of the Iwahori-Hecke Algebra of Type A . Ann. Comb. 17, 427–442 (2013). https://doi.org/10.1007/s00026-013-0197-2
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DOI: https://doi.org/10.1007/s00026-013-0197-2