Nonexistence of invariant symmetric forms on generalized Jacobson-Witt algebras revisited

Abstract

We provide a short alternative homological argument showing that any invariant symmetric bilinear form on simple modular generalized Jacobson-Witt algebras vanishes, and outline another, deformation-theoretic one, allowing to describe such forms on simple modular Lie algebras of contact type.

v4: the title synced with the published version

Cited by in corpus (3)

• Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras
• A compendium of Lie structures on tensor products
• Melikyan algebra is a deformation of a Poisson algebra