Quantised $\mathfrak{sl}_2$-differential algebras
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2024
- DOI:
- 10.48550/arXiv.2403.08521
- arXiv:
- arXiv:2403.08521
- Bibcode:
- 2024arXiv240308521K
- Keywords:
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- Mathematics - Quantum Algebra;
- 16T20;
- 81R50;
- 17B37
- E-Print:
- 10 pages