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.
- Cartan matrices
- Iwahori-Hecke algebras
- Young diagrams
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics