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arXiv:1512.04485 [math.RT]AbstractReferencesReviewsResources

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

Maki Nakasuji, Hiroshi Naruse

Published 2015-12-14Version 1

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.

Comments: 12 pages
Categories: math.RT
Subjects: 20F55, 20C08, 22E50, 16T25
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