UNITARY REPRESENTATIONS FOR THE SCHRODINGER-VIRASORO LIE ALGEBRA

被引：5
|
作者：
Zhang, Xiufu [1 ,2 ]
Tan, Shaobin [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Xuzhou Normal Univ, Sch Math Sci, Xuzhou 221116, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2013年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-Virasoro algebra; Harish-Chandra module; unitary module; HARISH-CHANDRA MODULES; GENERALIZED VIRASORO; CONJECTURE; KAC;
D O I：
10.1142/S0219498812501320
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, conjugate-linear anti-involutions and unitary Harish-Chandra modules over the Schrodinger-Virasoro algebra are studied. It is proved that there are only two classes conjugate-linear anti-involutions over the Schrodinger-Virasoro algebra. The main result of this paper is that a unitary Harish-Chandra module over the Schrodinger-Virasoro algebra is simply a unitary Harish-Chandra module over the Virasoro algebra.
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页数：16
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