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math.RT2017★ 1 cited
Casselman's basis of Iwahori vectors and Kazhdan-Lusztig polynomials
Daniel Bump, Maki Nakasuji
A problem in representation theory of -adic groups is the computation of the \textit{Casselman basis} of Iwahori fixed vectors in the spherical principal series representations,…
math.RT2015★ 4 cited
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 Hecke algebra introduced by A.Lascoux, B.Leclerc and J.Y.Thibon (Letters in Math. Phys., 40 (1997), 75--90) to all the…
math.RT2010★ 1 cited
Casselman's basis of Iwahori vectors and the Bruhat order
Daniel Bump, Maki Nakasuji
The Casselman basis of Iwahori fixed vectors in a principal series representation of a p-adic group G is dual to the standard intertwining operators. To compute it one must compute…