Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual q-Krawtchouk polynomials

Jae Ho Lee, Hajime Tanaka

研究成果: Paper査読

抄録

Let Γ be a dual polar graph with diameter D > 3. From every pair of a vertex of Γ and a maximal clique containing it, we construct a 2D-dimensional irreducible module for a nil-DAHA of type (C1, C1). Using this module, we define non-symmetric dual q-Krawtchouk polynomials and describe their orthogonality relations.

本文言語English
出版ステータスPublished - 2006
イベント29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom
継続期間: 2017 7 92017 7 13

Conference

Conference29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017
国/地域United Kingdom
CityLondon
Period17/7/917/7/13

ASJC Scopus subject areas

  • 代数と数論

フィンガープリント

「Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual q-Krawtchouk polynomials」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル