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

• Francesco Costantino ^[2] ; Nathan Geer ^[1] ; Bertrand Patureau-Mirand ^[3]
  1. [1] Utah State University

     Utah State University

     Estados Unidos

     
  2. [2] Institut de Mathématiques Toulouse, France
  3. [3] Université de Bretagne-Sud, France

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• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3238-3262
• Idioma: inglés
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• Resumen

  • n 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 [4] to study Topological Quantum Field Theory (TQFT) and have connections with Conformal Field Theory (CFT).