The Clebsch-Gordan Rule for (₂), the Krawtchouk Algebras and the Hamming Graphs

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• 1. Verfasser: Huang, Hau-Wen
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211867
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Clebsch-Gordan Rule for (₂), the Krawtchouk Algebras and the Hamming Graphs. Hau-Wen Huang. SIGMA 19 (2023), 017, 19 pages

Let ≥ 1 and ≥ 3 be two integers. Let () = (, ) denote the -dimensional Hamming graph over a q-element set. Let () denote the Terwilliger algebra of (). Let () denote the standard ()-module. Let ω denote a complex scalar. We consider a unital associative algebra ω defined by generators and relation...