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arXiv · 1512.04485

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

Maki Nakasuji·Hiroshi Naruse
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Abstract

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.

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BibTeXRIS

Maki Nakasuji, Hiroshi Naruse. 2015-12-14. Yang-Baxter basis of Hecke algebra and Casselman's problem (extended abstract). https://doi.org/10.46298/dmtcs.6370

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