Extension functors of modular Lie algebras

DOI10.1007/BF01444560zbMath0731.17007MaRDI QIDQ807732

Rolf Farnsteiner

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164762

zbMATH Keywords

cohomologyreduction theoremsmodular representationsextension functorsmodular Lie algebrageneralized reduced Verma moduleNonvanishing

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items

Restricted Lie algebras with maximal 0-PIM, FINITE-DIMENSIONAL HAMILTONIAN LIE SUPERALGEBRA, The graded modules for the graded contact cartan algebras, Cohomology of graded Lie algebras of cartan type of characteristic 0, Unnamed Item, Faithful irreducible representations of modular Lie algebras, Central extensions and \(H^ 1(L, L^*)\) of the graded Lie algebras of Cartan type, Simple generalized restricted modules for graded Lie algebras of Cartan type, Generalized restricted Lie algebras and representations of the Zassenhaus algebra, On the cohomology of ring extensions, Irreducible Representations of the Generalized Jacobson-Witt Algebras

Cites Work

• Graded modules of graded Lie algebras of Cartan type. III: Irreducible modules
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• Dual Space Derivations and H²(L, F) of Modular Lie Algebras
• On the Vanishing of Homology and Cohomology Groups of Associative Algebras
• The Cohomology of Semisimple Lie Algebras with Coefficients in a Verma Module
• On the Cohomology of Associative Algebras and Lie Algebras
• Cohomology Theory of Lie Groups and Lie Algebras
• A Note on Lie Algebras of Characteristic p
• The Representations of Lie Algebras of Prime Characteristic
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