Volume 3, 2019
|Number of page(s)||17|
|Published online||04 June 2019|
L∞-algebras and their cohomology
University of Göttingen Mathematical Institute, 37073 Göttingen, Germany
* e-mail: email@example.com
Accepted: 23 April 2019
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 coderivations of the symmetric coalgebra. This leads to abelian extensions of L∞-algebras by 2-cocycles.
Key words: L∞-algebras / representations (up to homotopy) / L∞-algebra cohomology / abelian extensions by 2-cocycles
© B. Reinhold, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.