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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Author: Huang, Hau-Wen
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211867
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...