Maki Nakasuji ; Hiroshi Naruse
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Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)
dmtcs:6370 -
Discrete Mathematics & Theoretical Computer Science,
April 22, 2020,
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
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https://doi.org/10.46298/dmtcs.6370
Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract)
Authors: Maki Nakasuji 1; Hiroshi Naruse 2
NULL##0000-0002-0122-5450
Maki Nakasuji;Hiroshi Naruse
1 Sophia University [Tokyo]
2 Yamanashi University
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 Lie types and prove their duality. As an application we give a solution to Casselman's problem on Iwahori fixed vectors of principal series representation of p-adic groups.