Dual polar graphs, the quantum algebra <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:msub><mml:mrow><mml:mi>U</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">sl</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>, and Leonard systems of dual q-Krawtchouk type-Reference-Cited by-同舟云学术

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Dual polar graphs, the quantum algebra Uq(sl2), and Leonard systems of dual q-Krawtchouk type

Published:2013-01 Issue:1 Volume:438 Page:443-497
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Worawannotai Chalermpong

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference27 articles.

1. Algebraic Combinatorics I: Association Schemes;Bannai,1984

2. Algebraic Graph Theory;Biggs,1993

3. Distance-Regular Graphs;Brouwer,1989

4. The structure of near polygons with quads;Brouwer;Geommet. Ded.,1983

5. Projective and Polar Spaces;Cameron,1992

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1. A Q-polynomial structure for the Attenuated Space poset Aq(N,M);Journal of Combinatorial Theory, Series A;2024-07

2. Distance-Regular Graphs with Classical Parameters that Support a Uniform Structure: Case $$q \le 1$$;Bulletin of the Malaysian Mathematical Sciences Society;2023-10-18

3. The Z3-symmetric down-up algebra;Journal of Algebra;2023-10

4. The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and U(sl2);Discrete Mathematics;2022-12

5. Linear Maps That Act Tridiagonally with Respect to Eigenbases of the Equitable Generators of Uq(sl2);Mathematics;2020-09-10

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