Abstract
The quasi-Frobenius-Lusztig kernel ${\operatorname{Q}}\mathbf{u}_{q}(\mathfrak{sl}_{2})$ associated with $\mathfrak{sl}_{2}$ has been constructed in [9]. 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 also provided.
Citation
Gongxiang Liu. Fred Van Oystaeyen. Yinhuo Zhang. "Representations of the small quasi-quantum group ${\operatorname{Q}}\mathbf{u}_{q}(\mathfrak{sl}_{2})$." Bull. Belg. Math. Soc. Simon Stevin 23 (5) 779 - 800, december 2016. https://doi.org/10.36045/bbms/1483671626
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