Representations of the small quasi-quantum group $Q{\mathbf{u}}_q({\mathfrak{sl}}_2)$

Abstract

The quasi-Frobenius-Lusztig kernel $Q{\mathbf{u}}_q({\mathfrak{sl}}_2)$ associated with ${\mathfrak{sl}}_2$ has been constructed in \cite{Liu}. In this paper we study the representations of this small quasi-quantum group. We give a complete list of non-isomorphic indecomposables and the tensor product decomposition rules for simples and projectives. A description of the Grothendieck ring is provided.

arXiv comment19 pages, 9 fiqures

References in corpus (1)

• The quasi-Hopf analogue of $u_q(s{l}_2)$