Lie conformal algebras related to Galilean conformal algebras

descriptionPublicationkeyboard_double_arrow_right Article 27 Feb 2020 English Publisher:World Scientific Pub Co Pte LtdJournal:Journal of Algebra and Its Applications, volume 20, page 2,150,075 (issn: 0219-4988, eissn: 1793-6829,

Authors: Xiu Han; Xiu Han; Dengyin Wang; Chunguang Xia;

doi: 10.1142/s0219498821500754

Lie conformal algebras related to Galilean conformal algebras

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Abstract

Let [Formula: see text] be a Lie conformal algebra related to Galilean conformal algebras, where [Formula: see text] are complex numbers. All the conformal derivations of [Formula: see text] are shown to be inner. The rank one conformal modules and [Formula: see text]-graded free intermediate series modules over [Formula: see text] are completely classified. The corresponding results of the finite conformal subalgebra of [Formula: see text] are also obtained as byproducts.

Related Organizations

Xuzhou University of Technology
China (People's Republic of)
China University of Mining and Technology
China (People's Republic of)

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