Tensor product weight modules of Schrödinger-Virasoro algebras

Abstract

It is known that the Schrödinger-Virasoro algebras, including the original Schrödinger-Virasoro algebra and the twisted Schrödinger-Virasoro algebra, are playing important roles in mathematics and statistical physics. In this paper, we study the tensor products of weight modules over the Schrödinger-Virasoro algebras. The irreducibility criterion for the tensor products of highest weight modules with intermediate series modules over the Schrödinger-Virasoro algebra is obtained.

Keywords

Harish-Chandra module / tensor product / highest weight module / intermediate series module / Schrödinger-Virasoro algebra

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