L∞-algebras and their cohomology
Keyword(s):
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.
1984 ◽
Vol 38
(2)
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pp. 141-149
Keyword(s):
2020 ◽
Vol 224
(3)
◽
pp. 987-1008
2020 ◽
Vol 0
(0)
◽
Keyword(s):
1999 ◽
Vol 27
(6)
◽
pp. 2833-2846
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1994 ◽
Vol 22
(12)
◽
pp. 4751-4757
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