Frontiers of Mathematics in China >
Tensor product weight modules of Schrödinger-Virasoro algebras
Received date: 13 Nov 2018
Accepted date: 01 Mar 2019
Published date: 15 Apr 2019
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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.
Dong LIU , Xiufu ZHANG . Tensor product weight modules of Schrödinger-Virasoro algebras[J]. Frontiers of Mathematics in China, 2019 , 14(2) : 381 -393 . DOI: 10.1007/s11464-019-0759-7
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