Structure of a class of Lie conformal algebras of Block type

DOI10.1080/00927872.2019.1710168zbMath1484.17010arXiv1905.04274OpenAlexW2999346668MaRDI QIDQ5107034

Wei Wang, Li Liu, Chunguang Xia

Publication date: 22 April 2020

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

Full work available at URL: https://arxiv.org/abs/1905.04274

zbMATH Keywords

conformal derivationsecond cohomologyconformal biderivation

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Quasifinite representations of a class of Block type Lie algebras \(\mathcal B(q)\)
• Lie conformal algebra cohomology and the variational complex
• Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
• Extensions of conformal modules over Lie conformal algebras of Block type
• Classification of quasifinite representations of a Lie algebra related to Block type
• Finite growth representations of conformal Lie algebras that contain a Virasoro subalgebra
• Conformal biderivations of loop \(W(a,b)\) Lie conformal algebra
• Infinite rank Schrödinger-Virasoro type Lie conformal algebras
• Loop Heisenberg-Virasoro Lie conformal algebra
• Structure of a Class of Lie Algebras of Block Type
• Low dimensional cohomology of general conformal algebras gcN
• Loop Virasoro Lie conformal algebra

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