The Clebsch-Gordan Rule for 𝑈(𝔰𝔩₂), 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 𝑈(𝔰𝔩₂), the Krawtchouk Algebras and the Hamming Graphs. Hau-Wen Huang. SIGMA 19 (2023), 017, 19 pages

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