The Ado theorem for finite Lie conformal algebras with Levi decomposition

DOI10.1142/S0219498816501309zbMath1395.17068arXiv1208.2373OpenAlexW3101614778WikidataQ115245647 ScholiaQ115245647MaRDI QIDQ2816893

Pavel Sergeevich Kolesnikov

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2373

zbMATH Keywords

representationradicalAdo theoremconformal algebra

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (9)

Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules ⋮ Representations of some associative pseudoalgebras ⋮ On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation ⋮ On universal conformal envelopes for quadratic Lie conformal algebras ⋮ Molien-Wedderburn theorem for associative conformal algebras with finite faithful representation ⋮ Universal enveloping Poisson conformal algebras ⋮ Another class of simple graded Lie conformal algebras that cannot be embedded into general Lie conformal algebras ⋮ Finite irreducible conformal modules of rank two Lie conformal algebras ⋮ Quadratic Lie conformal superalgebras related to Novikov superalgebras

Cites Work

• Structure theory of finite conformal algebras
• Conformal modules
• Lie groups. An approach through invariants and representations
• Universal enveloping conformal algebras.
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