Infinite rank Schrödinger-Virasoro type Lie conformal algebras
Copyright policy )Infinite rank Schrödinger-Virasoro type Lie conformal algebras
Motivated by the structure of certain modules over the loop Virasoro Lie conformal algebra and the Lie structures of Schrödinger-Virasoro algebras, we construct a class of infinite rank Lie conformal algebras CSV(a, b), where a, b are complex numbers. The conformal derivations of CSV(a, b) are uniformly determined. The rank one conformal modules and ℤ-graded free intermediate series modules over CSV(a, b) are classified. Corresponding results of the conformal subalgebra CHV(a, b) of CSV(a, b) are also presented.
- China University of Mining and Technology China (People's Republic of)
- Tongji University China (People's Republic of)
Superalgebras, Virasoro and related algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Rings and Algebras (math.RA), FOS: Mathematics, Loop groups and related constructions, group-theoretic treatment, Mathematical Physics, 17B05, 17B10, 17B40, 17B65, 17B68
Superalgebras, Virasoro and related algebras, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Mathematics - Rings and Algebras, Mathematical Physics (math-ph), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Rings and Algebras (math.RA), FOS: Mathematics, Loop groups and related constructions, group-theoretic treatment, Mathematical Physics, 17B05, 17B10, 17B40, 17B65, 17B68
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