The trace on projective representations of quantum groups
| Autor: | Nathan Geer, Bertrand Patureau-Mirand |
|---|---|
| Přispěvatelé: | Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), Université de Brest (UBO)-Université de Bretagne Sud (UBS)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Trace (linear algebra) Root of unity Quantum group 010102 general mathematics Statistical and Nonlinear Physics 01 natural sciences 17B37 18D10 81T40 Mathematics::Category Theory [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT] Mathematics - Quantum Algebra 0103 physical sciences Ribbon FOS: Mathematics Quantum Algebra (math.QA) 010307 mathematical physics Representation Theory (math.RT) 0101 mathematics Projective test Quantum Mathematics - Representation Theory Mathematical Physics ComputingMilieux_MISCELLANEOUS Mathematics |
| Zdroj: | Letters in Mathematical Physics Letters in Mathematical Physics, Springer Verlag, 2018, 108 (1), pp.117-140. ⟨10.1007/s11005-017-0993-4⟩ |
| ISSN: | 0377-9017 1573-0530 |
| DOI: | 10.1007/s11005-017-0993-4⟩ |
| Popis: | For certain roots of unity, we consider the categories of weight modules over three quantum groups: small, un-restricted and unrolled. The first main theorem of this paper is to show that there is a modified trace on the projective modules of the first two categories. The second main theorem is to show that category over the unrolled quantum group is ribbon. Partial results related to these theorems were known previously. Comment: 19 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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