Schrödinger-Virasoro Lie conformal algebra

DOI10.1063/1.4803029zbMath1366.17027OpenAlexW1969184423WikidataQ115333291 ScholiaQ115333291MaRDI QIDQ5402264

Lamei Yuan, Yucai Su

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4803029

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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)

Related Items (27)

Schrödinger-Virasoro Lie conformal algebras ⋮ Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras ⋮ Lie conformal algebras of planar Galilean type ⋮ Central extensions and conformal derivations of a class of Lie conformal algebras ⋮ Structures of \(W(2,2)\) Lie conformal algebra ⋮ Representations of Lie conformal algebras related to Galilean conformal algebras ⋮ Loop Heisenberg-Virasoro Lie conformal algebra ⋮ A class of Schrödinger–Virasoro type Lie conformal algebras ⋮ Unnamed Item ⋮ Representations of some associative pseudoalgebras ⋮ A class of graded conformal algebras which is induced by Heisenberg-Virasoro conformal algebra ⋮ Irreducible representations of finite Lie conformal algebras of planar Galilean type ⋮ Extending structures for Gel'fand-Dorfman bialgebras ⋮ Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type ⋮ Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras ⋮ Unnamed Item ⋮ Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra ⋮ Extensions of Schrödinger–Virasoro conformal modules ⋮ Classifying complements for conformal algebras ⋮ Extending structures for Lie conformal algebras ⋮ Loop Virasoro Lie conformal algebra ⋮ Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras ⋮ Finite irreducible modules of Lie conformal algebras 𝒲(a,b) and some Schrödinger–Virasoro type Lie conformal algebras ⋮ Infinite rank Schrödinger-Virasoro type Lie conformal algebras ⋮ On Schrödinger-Virasoro type Lie conformal algebras ⋮ Cohomology of the Schrödinger–Virasoro conformal algebra ⋮ Extensions of modules over the Heisenberg–Virasoro conformal algebra

Cites Work

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• Quantization of Schrödinger-Virasoro Lie algebra
• Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra
• The Schrödinger-Virasoro Lie group and algebra: representation theory and cohomological study
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Schrödinger invariance and spacetime symmetries
• Classification of finite simple Lie conformal superalgebras.
• Schrödinger invariance and strongly anisotropic critical systems
• On vertex algebra representations of the Schrödinger-Virasoro Lie algebra
• Lie bialgebra structures on the Schrödinger–Virasoro Lie algebra
• Lie Bialgebra Structures on the Extended Schrödinger-Virasoro Lie Algebra
• Structure of the Extended Schrödinger–Virasoro Lie Algebra $\widetilde{\mathfrak{sv}}$
• Low dimensional cohomology of general conformal algebras gcN
• Representations of the Schrödinger–Virasoro algebras
• Theory of finite pseudoalgebras

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