HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadata

Cited literature [19 references]  Display  Hide  Download

https://hal-univ-tours.archives-ouvertes.fr/hal-02305470
Contributor : Sandrine Renard-Riccetti Connect in order to contact the contributor
Submitted on : Friday, October 4, 2019 - 11:18:23 AM
Last modification on : Tuesday, January 11, 2022 - 5:56:35 PM

File

1906.03936.pdf
Files produced by the author(s)

Identifiers

Citation

Nicolas CrampÉ, Luc Frappat, Luc Vinet. Centralizers of the superalgebra osp(1|2) : the Brauer algebra as a quotient of the Bannai–Ito algebra. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2019, 52 (42), pp.424001. ⟨10.1088/1751-8121/ab433f⟩. ⟨hal-02305470⟩

Share

Metrics

Record views

97

Files downloads

69