Quantised $\mathfrak{sl}_2$-differential algebras

We propose a definition of a quantised $\mathfrak{sl}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of $\mathfrak{sl}_2$ are natural examples of such algebras.

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Bibliographic Details
Main Authors Krutov, Andrey, Pandžić, Pavle
Format Journal Article
LanguageEnglish
Published 13.03.2024
Subjects
Mathematics - Quantum Algebra
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Summary:We propose a definition of a quantised $\mathfrak{sl}_2$-differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised Clifford algebra (defined by the authors) of $\mathfrak{sl}_2$ are natural examples of such algebras.
DOI:10.48550/arxiv.2403.08521