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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Huang, Hau-Wen, Bockting-Conrad, Sarah
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210592
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...