Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra
| Autor: | Crampe, Nicolas, Frappat, Luc, Vinet, Luc |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | J. Phys. A: Math. Theor. 52 (2019) 424001 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1751-8121/ab433f |
| Popis: | We provide an explicit isomorphism between a quotient of the Bannai--Ito algebra and the Brauer algebra. We clarify also the connection with the action of the Lie superalgebra osp(1|2) on the threefold tensor product of its fundamental representation. Finally, a conjecture is proposed to describe the centralizer of osp(1|2) acting on three copies of an arbitrary finite irreducible representation in terms of a quotient of the Bannai-Ito algebra. Comment: Dedicated to the memory of Peter G. O. Freund |
| Databáze: | arXiv |
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