Lie triple 2-algebras
Rings and Algebras
2023-10-23 v1 Representation Theory
Abstract
We invent a new cohomology theory for Lie triple algebras. Using this cohomology, we introduce the notions of 2-term -triple algebras and Lie triple 2-algebras. We prove that the category of 2-term -triple algebras is equivalent to the category of Lie triple 2-algebras. Crossed modules of Lie triple algebras are studied in detail.
Cite
@article{arxiv.2310.13614,
title = {Lie triple 2-algebras},
author = {Tao Zhang and Zhang-Ju Liu},
journal= {arXiv preprint arXiv:2310.13614},
year = {2023}
}
Comments
26 pages. arXiv admin note: text overlap with arXiv:1601.01196 by other authors