The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra

Assume that is a field with char ≠ 2. The Racah algebra ℜ is a unital associative -algebra defined by generators and relations. The generators are A, B, C, D, and the relations assert that [A, B]=[B, C]=[C, A]=2D, and each of [A, D]+AC−BA, [B, D]+BA−CB, [C, D]+CB−AC is central in ℜ. The Bannai-Ito...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Huang, Hau-Wen
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210773
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra. Hau-Wen Huang. SIGMA 16 (2020), 075, 15 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine