English

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

Quantum Algebra 2024-12-20 v2

Abstract

We propose a definition of a quantised sl2\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 sl2\mathfrak{sl}_2 are natural examples of such algebras.

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Cite

@article{arxiv.2403.08521,
  title  = {Quantised $\mathfrak{sl}_2$-differential algebras},
  author = {Andrey Krutov and Pavle Pandžić},
  journal= {arXiv preprint arXiv:2403.08521},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T15:18:43.193Z