The Racah Algebra of Rank 2: Properties, Symmetries and Representation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• ISSN: 1815-0659
• Main Authors: Post, Sarah, Bertrand, Sébastien
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212610
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Racah Algebra of Rank 2: Properties, Symmetries and Representation. Sarah Post and Sébastien Bertrand. SIGMA 20 (2024), 085, 21 pages

The goals of this paper are threefold. First, we provide a new ''universal'' definition for the Racah algebra of rank 2 as an extension of the rank-1 Racah algebra where the generators are indexed by subsets, and any three disjoint indexing sets define a subalgebra isomorphic to...