Non-existence of invariant symmetric forms on generalized Jacobson-Witt algebras revisited

Details Non-existence of invariant symmetric forms on generalized Jacobson-Witt algebras revisited Non-existence of invariant symmetric forms on generalized Jacobson-Witt algebras revisited

2009-01-31

arxiv.org/abs/0902.0038v2

Comm. Algebra 39 (2011), 548-554

Mathematics

Rings and Algebras

6 pages, to appear in Comm. Algebra; v2: added explanation why the method does not work for other Cartan type Lie algebras, an

Scientific paper

10.1080/00927871003592023

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.

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