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Centralizers of the superalgebra osp(1|2) : the Brauer algebra as a quotient of the Bannai–Ito algebra
Abstract : 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. To the fond memory of Peter Freund, a much esteemed scientist who always generously shared his immense culture.
Cited literature [19 references]
https://hal-univ-tours.archives-ouvertes.fr/hal-02305470
Contributor : Sandrine Renard-Riccetti <>
Submitted on : Friday, October 4, 2019 - 11:18:23 AM
Last modification on : Monday, October 28, 2019 - 10:32:28 AM
Contributor : Sandrine Renard-Riccetti <>
Submitted on : Friday, October 4, 2019 - 11:18:23 AM
Last modification on : Monday, October 28, 2019 - 10:32:28 AM
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1906.03936.pdf
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