On the string Lie algebra
| Autor: | Friedrich Wagemann, Salim Riviere |
|---|---|
| Přispěvatelé: | Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN), équipe Topologie, geometrie et algebre |
| Rok vydání: | 2014 |
| Předmět: |
Pure mathematics
General Mathematics Infinitesimal [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences Crossed module 01 natural sciences [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] Mathematics::Category Theory Mathematics - Quantum Algebra Lie algebra C++ string handling FOS: Mathematics Quantum Algebra (math.QA) 0101 mathematics Abelian group Mathematical Physics Mathematics 010102 general mathematics Order (ring theory) K-Theory and Homology (math.KT) Construct (python library) Mathematical Physics (math-ph) 17B56 010101 applied mathematics Mathematics - K-Theory and Homology [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] [MATH.MATH-KT]Mathematics [math]/K-Theory and Homology [math.KT] |
| Zdroj: | Algebras and Representation Theory Algebras and Representation Theory, 2015, 18 (4), pp.1071-1099 |
| DOI: | 10.48550/arxiv.1407.6806 |
| Popis: | We construct an abelian representative for the crossed module associated to the string Lie algebra. We show how to apply this construction in order to define quasi-invariant tensors which serve to categorify the infinitesimal braiding on the category of g-modules given by an r-matrix, following Cirio-Martins. Comment: 29 pages |
| Databáze: | OpenAIRE |
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