Some remarks on the unrolled quantum group of sl(2)
Quantum Algebra
2016-06-23 v3
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).
Keywords
Cite
@article{arxiv.1406.0410,
title = {Some remarks on the unrolled quantum group of sl(2)},
author = {Francesco Costantino and Nathan Geer and Bertrand Patureau-Mirand},
journal= {arXiv preprint arXiv:1406.0410},
year = {2016}
}
Comments
25 pages, v3: several mistakes corrected in the formulas of modified traces