Cubic Dirac operator for $U_q({\mathfrak{sl}}_2)$

Andrey Krutov, Pavle Pandžić

We construct the $q$-deformed Clifford algebra of ${\mathfrak{sl}}_2$ and study its properties. This allows us to define the $q$-deformed noncommutative Weil algebra $\mathcal{W}_q(\…