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Extensions of L ∞ algebras of two even and one odd dimension

Extensions of L ∞ algebras of two even and one odd dimension In this article we study extensions of ℤ 2 -graded L ∞ algebras on a vector space of two even and one odd dimension. In particular, we determine all extensions of a super Lie algebra as an L ∞ algebra. Our convention on the parities is the opposite of the usual one, because we define our structures on the symmetric coalgebra of the parity reversion of a space. 2000 Mathematics Subject Classification: 14D15, 13D10, 14B12, 16S80, 16E40, 17B55, 17B70. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Extensions of L ∞ algebras of two even and one odd dimension

Forum Mathematicum , Volume 20 (4) – Jul 1, 2008

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References (19)

Publisher
de Gruyter
Copyright
© Walter de Gruyter
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2008.034
Publisher site
See Article on Publisher Site

Abstract

In this article we study extensions of ℤ 2 -graded L ∞ algebras on a vector space of two even and one odd dimension. In particular, we determine all extensions of a super Lie algebra as an L ∞ algebra. Our convention on the parities is the opposite of the usual one, because we define our structures on the symmetric coalgebra of the parity reversion of a space. 2000 Mathematics Subject Classification: 14D15, 13D10, 14B12, 16S80, 16E40, 17B55, 17B70.

Journal

Forum Mathematicumde Gruyter

Published: Jul 1, 2008

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