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arXiv · 1406.0410

Some remarks on the unrolled quantum group of sl(2)

Francesco Costantino·Nathan Geer·Bertrand Patureau-Mirand
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Abstract

In this paper we consider the representation theory of a non-standard quantization of sl(2). This paper contains several results which have applications in quantum topology, including the classification of projective indecomposable modules and a description of morphisms between them. In the process of proving these results the paper acts as a survey of the known representation theory associated to this non-standard quantization of sl(2). The results of this paper are used extensively in [arXiv:1404.7289] to study Topological Quantum Field Theory (TQFT) and have connections with Conformal Field Theory (CFT).

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BibTeXRIS

Francesco Costantino, Nathan Geer, Bertrand Patureau-Mirand. 2014-06-02. Some remarks on the unrolled quantum group of sl(2). https://doi.org/10.1016/j.jpaa.2014.10.012

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