Tensor product weight modules of Schrödinger-Virasoro algebras

doi:10.1007/s11464-019-0759-7

Front. Math. China

2019, Vol. 14

Issue (2) : 381-393 https://doi.org/10.1007/s11464-019-0759-7

RESEARCH ARTICLE

Tensor product weight modules of Schrödinger-Virasoro algebras

Dong LIU¹, Xiufu ZHANG²(

)

¹. Department of Mathematics, Huzhou University, Huzhou 313000, China
². School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China

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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

Corresponding Author(s): Xiufu ZHANG

Issue Date: 14 May 2019

Cite this article:

Dong LIU,Xiufu ZHANG. Tensor product weight modules of Schrödinger-Virasoro algebras[J]. Front. Math. China, 2019, 14(2): 381-393.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0759-7
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I2/381

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