Supersymmetry algebras: extensions of orthgonal Lie algebras
Hasiewicz, Zbigniew
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Hasiewicz, Zbigniew
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Theory and Applications of Categories [electronic only]
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Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential)...