Extensions of Linfinity algebras of two even and one odd dimension
Abstract
In this article we study extensions of Z2-graded Linfinity 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 Linfinity 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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