Irreducible representations of finite Lie conformal algebras of planar Galilean type

DOI10.1016/S0034-4877(20)30043-4zbMath1441.81124OpenAlexW3039575740MaRDI QIDQ2194298

Chunguang Xia, Dengyin Wang, Xiu Han

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(20)30043-4

zbMATH Keywords

conformal moduleLie conformal algebraGalilean conformal algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Operator algebra methods applied to problems in quantum theory (81R15) Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) (81T35)

Cites Work

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• Tensionless strings and Galilean conformal algebra
• Structure of the planar Galilean conformal algebra
• Lie conformal algebra cohomology and the variational complex
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Lie conformal algebras of planar Galilean type
• Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
• Vector and ray representations of the Euclidean group \(E(2)\)
• Classification of finite irreducible modules over the Lie conformal superalgebra \(CK_{6}\)
• On vertex algebra representations of the Schrödinger-Virasoro Lie algebra
• Comments on Galilean conformal field theories and their geometric realization
• Finite conformal modules over N=2,3,4 superconformal algebras
• Infinite rank Schrödinger-Virasoro type Lie conformal algebras
• Some Properties of Planar Galilean Conformal Algebras
• Representations of simple finite Lie conformal superalgebras of type W and S
• Finite dimensional representations of the Euclidean algebra e(2) having two generators
• Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra
• HIGHEST WEIGHT REPRESENTATIONS AND KAC DETERMINANTS FOR A CLASS OF CONFORMAL GALILEI ALGEBRAS WITH CENTRAL EXTENSION
• Irreducible modules over finite simple Lie conformal superalgebras of type K
• Schrödinger-Virasoro Lie conformal algebra

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