Triviality of the second cohomology group of the conformal algebras $\mathrm {Cend}_n$ and $\mathrm {Cur}_n$

DOI10.1090/S1061-0022-09-01085-1zbMath1200.13022OpenAlexW1865980711MaRDI QIDQ3586739

Irina Aleksandrovna Dolguntseva

Publication date: 1 September 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-09-01085-1

zbMATH Keywords

Hochschild cohomologyconformal algebraalgebra of conformal endomorphisms

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items (7)

\(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮ Lie algebra structures on cohomology complexes of some \(H\)-pseudoalgebras ⋮ On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation ⋮ Gerstenhaber algebra of the Hochschild cohomology of an associative conformal algebra ⋮ Molien-Wedderburn theorem for associative conformal algebras with finite faithful representation ⋮ Hochschild cohomologies of the associative conformal algebra \(\mathrm{Cend}_{1 ,x }\) ⋮ On the cohomology of Leibniz conformal algebras

Cites Work

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• Associative conformal algebras with finite faithful representation.
• On the cohomology groups of an associative algebra
• ON THE WEDDERBURN PRINCIPAL THEOREM IN CONFORMAL ALGEBRAS
• Hochschild cohomologies for associative conformal algebras
• Associative conformal algebras of linear growth.
• Theory of finite pseudoalgebras

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