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
DOI: 10.1016/j.jpaa.2014.10.012
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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).