Hecke代数的Yang-Baxter基与Casselman问题(扩展抽象)

IF 0.7 4区数学

Discrete Mathematics and Theoretical Computer Science Pub Date : 2015-12-14 DOI:10.46298/dmtcs.6370

Maki Nakasuji, H. Naruse

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引用次数: 5

摘要

推广了A. lascoux、B.Leclerc和J.Y.Thibon(《数学快报》)提出的A型Hecke代数的Yang-Baxter基的定义。理论物理。， 40(1997)， 75-90)证明了所有Lie类型的对偶性。作为应用，我们给出了关于p进群的主级数表示的Iwahori固定向量的Casselman问题的一个解。

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

International audience 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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来源期刊

Discrete Mathematics and Theoretical Computer Science 数学-计算机：软件工程

自引率

14.30%

发文量

期刊介绍： DMTCS is a open access scientic journal that is online since 1998. We are member of the Free Journal Network. Sections of DMTCS Analysis of Algorithms Automata, Logic and Semantics Combinatorics Discrete Algorithms Distributed Computing and Networking Graph Theory.