Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)

Maki Nakasuji, Hiroshi Naruse

We generalize the definition of Yang-Baxter basis of type $A$ Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75--90) to all the…