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

Jae Ho Lee, Hajime Tanaka

Research output: Contribution to conferencePaperpeer-review

Abstract

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.

Original languageEnglish
Publication statusPublished - 2006
Event29th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2017 - London, United Kingdom
Duration: 2017 Jul 92017 Jul 13

Conference

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

Keywords

  • Dual polar graph
  • Dual q-Krawtchouk polynomial
  • Nil-DAHA of rank one
  • Terwilliger algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

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