Schrodinger-Virasoro Lie H-pseudoalgebras

2018/09/06 by Wu, Zhixiang
#17B55 #17B70 #18D35 #81T05 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1809.03295

Abstract

Schrodinger-Virasoro Lie algebras are annihilation algebras of Lie conformal algebras of rank three, which are widely studied by mathematicians and physicists. Conformal algebras are also called H-pseudoalgebras, where H = k[s] is the polynomial algebra over a field k. In this article, we introduce and classify Schrodinger-Virasoro Lie H-pseudoalgebras. Meanwhile we also determine all Leibniz H-pseudoalgebras of rank two.

Related

• Lie bialgebra structures on the deformative Schrödinger-Virasoro algebras
• Structure of the extended Schrodinger-Virasoro Lie algebra
• Quantization of extended SchrÄodinger-Virasoro Lie algebra
• Higher structures for Lie H-pseudoalgebras
• Unitary representations for the Schrödinger-Virasoro Lie algebra