Central extensions and invariant forms of Cartan type Lie algebras of positive characteristic

DOI10.1007/BF01083696zbMath0569.17005OpenAlexW1984778160MaRDI QIDQ1061207

A. S. Dzhumadil'daev

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083696

zbMATH Keywords

central extensionscohomology spaceprime characteristicinvariant formCartan type simple Lie algebras

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items

Formal pseudodifferential operators in one and several variables, central extensions, and integrable systems ⋮ Double extensions of restricted Lie (super)algebras ⋮ Central extensions and \(H^ 1(L, L^*)\) of the graded Lie algebras of Cartan type ⋮ Non-degenerate invariant (super)symmetric bilinear forms on simple Lie (super)algebras ⋮ Nonexistence of Invariant Symmetric Forms on Generalized Jacobson–Witt Algebras Revisited ⋮ Local systems in simple finitary lie algebras

Cites Work

• New Simple Lie Algebras of Prime Characteristic
• The cohomologies of the lie algebra of the vector fields in a circle