Tensor product weight modules of Schrodinger-Virasoro algebras

摘要

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