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3--algebras and 3-Lie 2-algebras.
- Source :
-
Journal of Algebra & Its Applications . Sep2017, Vol. 16 Issue 9, p-1. 20p. - Publication Year :
- 2017
-
Abstract
- In this paper, we introduce the notions of a --algebra and a 3-Lie 2-algebra. The former is a model for a 3-Lie algebra that satisfy the fundamental identity up to all higher homotopies, and the latter is the categorification of a 3-Lie algebra. We prove that the 2-category of 2-term --algebras is equivalent to the 2-category of 3-Lie 2-algebras. Skeletal and strict 3-Lie 2-algebras are studied in detail. A construction of a 3-Lie 2-algebra from a symplectic 3-Lie algebra is given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194988
- Volume :
- 16
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra & Its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 123542492
- Full Text :
- https://doi.org/10.1142/S0219498817501717