Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Huang, Hau-Wen, Bockting-Conrad, Sarah
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210592
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero. Hau-Wen Huang and Sarah Bockting-Conrad. SIGMA 16 (2020), 018, 17 pages

Assume that is an algebraically closed field with characteristic zero. The Racah algebra ℜ is the unital associative -algebra defined by generators and relations in the following way. The generators are A, B, C, D, and the relations assert that [A, B]=[B, C]=[C, A]=2D and that each of [A, D]+AC−B...