L∞-algebras and their cohomology

We give an overview of different characterisations of L∞-structures in terms of symmetric brackets and (co)differentials on the symmetric (co)algebra. We then do the same for their representations (up to homotopy) and approach L∞-algebra cohomology using the commutator bracket on the space of coderi...

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Bibliographic Details
Main Author: Reinhold Ben
Format: Article
Language:English
Published: EDP Sciences 2019-01-01
Series:Emergent Scientist
Subjects:
Online Access:https://emergent-scientist.edp-open.org/articles/emsci/full_html/2019/01/emsci190001/emsci190001.html