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
Published in	arXiv.org
Main Authors	Krutov, Andrey, Pandžić, Pavle
Format	Paper
Language	English
Published	Ithaca Cornell University Library, arXiv.org 13.03.2024
Subjects	Algebra
Online Access	Get full text

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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.
ISSN:	2331-8422