Representations of ${\bar{U}}_{q}s\ell (2|1)$ at even roots of unity

A M Semikhatov, I Yu Tipunin

We construct all projective modules of the restricted quantum group ${\bar{U}}_{q}s\ell (2|1)$ at an even, $2p$th, root of unity. This $64p^4$-dimensional Hopf algebra is a common doub…