On the cohomology of Lie algebras with an invariant inner product

Abstract

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

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…