Representations of the small quasi-quantum group Qu_q(\mathfraksl₂)

2014/01/27 by Gongxiang Liu, Liu, Gongxiang, F. Van Oystaeyen +3
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1401.6843

openalex publication_date 2014/01/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The quasi-Frobenius-Lusztig kernel Qu_q(\mathfraksl₂) associated with \mathfraksl₂ has been constructed in \citeLiu. 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.

Citations

• The quasi-Hopf analogue of u_q(sl₂)

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