Abstract

Schrödinger-Virasoro Lie algebras spanned by are annihilation algebras of Lie conformal algebras of rank three, which are widely studied by mathematicians and physicists. In this article, we introduce the notion of Schrödinger-Virasoro Lie conformal algebras. Using the pseudoalgebra language, we study the Schrödinger-Virasoro Lie conformal algebras and classify all Schrödinger-Virasoro Lie conformal algebras.

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