The Clebsch-Gordan Rule for π‘ˆ(𝔰𝔩₂), the Krawtchouk Algebras and the Hamming Graphs

Let 𝐷 β‰₯ 1 and π‘ž β‰₯ 3 be two integers. Let 𝐻(𝐷) = 𝐻(𝐷, π‘ž) 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 Ο‰ denote a complex scalar. We consider a unital associative algebra π”ŽΟ‰ defined by genera...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Author: Huang, Hau-Wen
Format: Article
Language:English
Published: Інститут ΠΌΠ°Ρ‚Π΅ΠΌΠ°Ρ‚ΠΈΠΊΠΈ НАН Π£ΠΊΡ€Π°Ρ—Π½ΠΈ 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211867
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Clebsch-Gordan Rule for π‘ˆ(𝔰𝔩₂), the Krawtchouk Algebras and the Hamming Graphs. Hau-Wen Huang. SIGMA 19 (2023), 017, 19 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine