Algebraic constructions for left-symmetric conformal algebras

DOI10.1080/00927872.2023.2250874arXiv2304.05000MaRDI QIDQ6198595

Yanyong Hong, Zhongyin Xu

Publication date: 23 February 2024

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

Full work available at URL: https://arxiv.org/abs/2304.05000

zbMATH Keywords

crossed productextending structuresbicrossed productunified productleft-symmetric conformal algebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Vertex operators; vertex operator algebras and related structures (17B69) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Cites Work

• Unnamed Item
• Extending structures, Galois groups and supersolvable associative algebras
• Extending structures for Lie conformal algebras
• Extending structures. II: The quantum version.
• Extending structures and classifying complements for left-symmetric algebras
• Extending structures. I: The level of groups.
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Conformal classical Yang-Baxter equation, \(S\)-equation and \({\mathcal{O}}\)-operators
• Extending structures for Lie algebras
• Left-symmetric conformal algebras and vertex algebras
• Unified products for Leibniz algebras. Applications
• Graded Left Symmetric Pseudo-algebras
• Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b)
• Compatible left-symmetric conformal algebras on W(a, b)
• On left-symmetric conformal bialgebras

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