Classification of 2-term $L_\infty$-algebras
Quantum Algebra
2022-03-15 v2 Mathematical Physics
math.MP
Abstract
We classify all 2-term -algebras up to isomorphism. We show that such -algebras are classified by a Lie algebra, a vector space, a representation (all up to isomorphism) and a cohomology class of the corresponding Lie algebra cohomology.
Cite
@article{arxiv.2109.10202,
title = {Classification of 2-term $L_\infty$-algebras},
author = {Kevin S. van Helden},
journal= {arXiv preprint arXiv:2109.10202},
year = {2022}
}
Comments
16 pages