On the Cohomology of Lie Algebras with an Invariant Inner Product

Algebras and Representation Theory（2021）

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摘要

In this work we consider the moduli space of all noncommutative metric Lie algebras, having a nondegenerate symmetric invariant bilinear form, over ℂ and ℝ up to dimension 5 and all metric Lie algebras over ℂ in dimension 6. We introduce cyclic and reduced cyclic cohomology to identify their metric deformations.

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关键词

Lie algebras, Cyclic cohomology, Invariant inner products, Metric deformations, 17B56, 17A45, 14B12, 14D14

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