Cohomology groups of reduced enveloping algebras

DOI10.1007/BF02571329zbMath0727.17009MaRDI QIDQ803255

Rolf Farnsteiner

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/174211

zbMATH Keywords

Hochschild cohomologycohomologynilpotentrestricted enveloping algebracompletely solvable algebrasreduced enveloping algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (7)

Cohomology of \(\mathfrak{sl}_3\) and \(\mathfrak{gl}_3\) with coefficients in simple modules and Weyl modules in positive characteristics ⋮ On the cohomology of restricted lie algebras ⋮ RESTRICTED INFINITESIMAL DEFORMATIONS OF RESTRICTED SIMPLE LIE ALGEBRAS ⋮ Second Cohomology of the Modular Lie Superalgebra of Cartan Type K ⋮ On Lie $p$-algebras of cohomological dimension one ⋮ NOTTINGHAM LIE ALGEBRAS WITH DIAMONDS OF FINITE TYPE ⋮ The Loewy series of principal indecomposable modules in the regular nilpotent representations of 𝔰𝔩(3,k)

Cites Work

• Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras
• On the cohomology of ring extensions
• Cohomology of infinitesimal and discrete groups
• Cohomology groups of infinite dimensional algebras
• Classification of restricted simple Lie algebras
• cohomology of Lie \(p\)-algebras
• Integrals for Hopf algebras
• On the cohomology groups of an associative algebra
• Conditions for the commutativity of restricted lie algebras
• Cohomology of Lie Algebras and Algebraic Groups
• On the Vanishing of Homology and Cohomology Groups of Associative Algebras
• Modular Representation Theory of Lie Algebras
• Restricted Lie algebras (and beyond)
• Cartan Subalgebras of Simple Lie Algebras
• On the Cohomology of Associative Algebras and Lie Algebras
• Relative Homological Algebra and Homological Dimension of Lie Algebras
• On the Commutativity of Restricted Lie Algebra
• The u-Algebra of a Restricted Lie Algebra is Frobenius
• Cohomology Theory of Lie Groups and Lie Algebras
• Cohomology of Restricted Lie Algebras
• Representations of Restricted Lie Algebras of Characteristic p
• The Representations of Lie Algebras of Prime Characteristic
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