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## Abstract

Assume that F is algebraically closed with characteristic 0. A central extension BI of the Bannai–Ito algebras is a unital associative F-algebra generated by X, Y, Z, and the relations assert that each of {X,Y}-Z,{Y,Z}-X,{Z,X}-Yis central in BI. In this paper, we classify the finite-dimensional irreducible BI-modules up to isomorphism. As we will see, the elements X, Y, Z are not always diagonalizable on finite-dimensional irreducible BI-modules.

Original language | English |
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Pages (from-to) | 2519-2541 |

Number of pages | 23 |

Journal | Letters in Mathematical Physics |

Volume | 110 |

Issue number | 9 |

DOIs | |

State | Published - 1 Sep 2020 |

## Keywords

- Bannai–Ito algebra
- Irreducible modules
- Universal property

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Dive into the research topics of 'Finite-dimensional irreducible modules of the Bannai–Ito algebra at characteristic zero'. Together they form a unique fingerprint.## Projects

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