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arXiv 2014-01-27 0 views

Representations of the small quasi-quantum group Quq(sl₂)

Liu, Gongxiang · Van Oystaeyen, Fred · Zhang, Yinhuo

Original · EN

The quasi-Frobenius-Lusztig kernel Quq(sl₂) associated with sl₂ has been constructed in 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.

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