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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Quantum Algebra, K-Theory and Homology, 14D15,13D10,14B12,16S80,16E40,17B55,17B70

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http://salesiana.dossiersoluciones.com/handle/123456789/124938

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403302
 http://arxiv.org/abs/math/0403302
 to appear in Forum Math. (2007)

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arXiv