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.

11 pages