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arxiv: math/0403302 · v1 · submitted 2004-03-18 · 🧮 math.QA · math.KT

Extensions of L_infinity algebras of two even and one odd dimension

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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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