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Extensions of L_infinity algebras of two even and one odd dimension

Alice Fialowski·Michael Penkava
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Abstract

In this article we study extensions of Z_2-graded L_infinity 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_infinity 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.

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Alice Fialowski, Michael Penkava. 2004-03-18. Extensions of L_infinity algebras of two even and one odd dimension. https://arxiv.org/abs/math/0403302

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