december 2023 Bosonization of curved Lie bialgebras
Istvan Heckenberger, Leandro Vendramin
Bull. Belg. Math. Soc. Simon Stevin 30(5): 577-600 (december 2023). DOI: 10.36045/j.bbms.221202

Abstract

We use Cartier's preadditive symmetric monoidal categories to study Lie bialgebras. We prove that bosonization can be done consistently in this framework. In the last part of the paper we present explicit examples and indicate a deep relationship between certain curved Lie bialgebras and Nichols algebras over abelian groups.

Citation

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Istvan Heckenberger. Leandro Vendramin. "Bosonization of curved Lie bialgebras." Bull. Belg. Math. Soc. Simon Stevin 30 (5) 577 - 600, december 2023. https://doi.org/10.36045/j.bbms.221202

Information

Published: december 2023
First available in Project Euclid: 13 February 2024

Digital Object Identifier: 10.36045/j.bbms.221202

Subjects:
Primary: 17B62 , 17B75 , 18M05

Keywords: (super) Jordan plane , bosonization , Lie bialgebra , Nichols algebra

Rights: Copyright © 2023 The Belgian Mathematical Society

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Vol.30 • No. 5 • december 2023
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