Classification of 2-term L∞-algebras

Kevin van Helden

doi:10.1007/s40062-024-00354-5

Classification of 2-term L_∞-algebras

Kevin van Helden^*

^*Corresponding author for this work

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Abstract

We classify all 2-term L_∞-algebras up to isomorphism. We show that such L_∞-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.

Original language	English
Pages (from-to)	541-560
Number of pages	20
Journal	Journal of Homotopy and Related Structures
Volume	19
Issue number	4
Early online date	9-Sept-2024
DOIs	https://doi.org/10.1007/s40062-024-00354-5
Publication status	Published - Dec-2024

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Classification of 2-term L∞-algebrasFinal publisher's version, 343 KBLicence: CC BY

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title = "Classification of 2-term L∞-algebras",

abstract = "We classify all 2-term L∞-algebras up to isomorphism. We show that such L∞-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.",

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Classification of 2-term L_∞-algebras

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