Classifying complements for conformal algebras

DOI10.1080/00927872.2021.1895998zbMath1502.17021arXiv2009.14398OpenAlexW3139538893MaRDI QIDQ5153798

Yanyong Hong

Publication date: 1 October 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14398

zbMATH Keywords

Lie conformal algebrabicrossed productassociative conformal algebraclassifying complement

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

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• Extending structures for Lie conformal algebras
• Extending structures and classifying complements for left-symmetric algebras
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Poisson vertex algebras in the theory of Hamiltonian equations
• Unified products for Leibniz algebras. Applications
• Classifying complements for Hopf algebras and Lie algebras.
• Classifying complements for associative algebras.
• Associative conformal algebras with finite faithful representation.
• ON THE WEDDERBURN PRINCIPAL THEOREM IN CONFORMAL ALGEBRAS
• Extending structures for associative conformal algebras
• Schrödinger-Virasoro Lie conformal algebra
• On left-symmetric conformal bialgebras
• Unified products of Leibniz conformal algebras

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