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Frontiers of Mathematics in China

, Volume 14, Issue 2, pp 381–393 | Cite as

Tensor product weight modules of Schrödinger-Virasoro algebras

  • Dong Liu
  • Xiufu ZhangEmail author
Research Article
  • 8 Downloads

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 

MSC

17B10 17B65 17B68 

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Notes

Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11571145, 11871249) and the Natural Science Foundation of Zhejiang Province (No. LZ14A010001).

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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsHuzhou UniversityHuzhouChina
  2. 2.School of Mathematics and StatisticsJiangsu Normal UniversityXuzhouChina

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