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

Masanori Ando, Takeshi Suzuki, Hiro-Fumi Yamada

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 grad…