Erratum and addendum to ‘‘Central extensions of current algebras”

DOI10.1090/S0002-9947-10-05304-3zbMath1243.17014arXiv0812.2625OpenAlexW4237743621MaRDI QIDQ3053485

Pasha Zusmanovich

Publication date: 29 October 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2625

zbMATH Keywords

central extensionscyclic cohomologysecond cohomologymodular semisimple Lie algebras

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items (29)

Algebraic constructions for Jacobi-Jordan algebras ⋮ Central extensions of 2-filiform Leibniz algebras ⋮ The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ On the classification of bilinear maps with radical of a fixed codimension ⋮ Homologie des algèbres de lie étendues à une algèbre commutative ⋮ One-generated nilpotent Novikov algebras ⋮ Central extensions of filiform Zinbiel algebras ⋮ Central extensions of 3-dimensional Zinbiel algebras ⋮ The algebraic and geometric classification of nilpotent Novikov algebras ⋮ Non-associative central extensions of null-filiform associative algebras ⋮ The algebraic classification of nilpotent Tortkara algebras ⋮ Deformations of \(W_{1}(n)\otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra. ⋮ Central extensions of 4-dimensional binary Lie algebras ⋮ A family of simple Lie algebras in characteristic two. ⋮ A class of non-associative Nilpotent Jordan algebras ⋮ The variety of dual mock-Lie algebras ⋮ The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ Extending structures for Lie algebras ⋮ The algebraic and geometric classification of nilpotent noncommutative Jordan algebras ⋮ Erratum and addendum to ‘‘Central extensions of current algebras” ⋮ Commutative 2-cocycles on Lie algebras ⋮ The algebraic and geometric classification of nilpotent assosymmetric algebras ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ The algebraic and geometric classification of nilpotent right alternative algebras ⋮ Loop algebras of Zassenhaus algebras in characteristic three ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ The algebraic classification of nilpotent commutative CD-algebras ⋮ Central extensions of filiform associative algebras

Cites Work

• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• Determination of the differentiably simple rings with a minimal ideal
• Erratum and addendum to ‘‘Central extensions of current algebras”
• SIMPLE MODULAR LIE ALGEBRAS WITH A SOLVABLE MAXIMAL SUBALGEBRA
• The second homology group of current Lie algebras
• On the Mills-Seligman Axioms for Lie Algebras of Classical Type
• On the Extensions of Lie Algebras
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