HARISH-CHANDRA MODULES OVER THE Q HEISENBERG-VIRASORO ALGEBRA

被引:3
作者
Guo, Xiangqian [1 ]
Liu, Xuewen [1 ]
Zhao, Kaiming [2 ,3 ]
机构
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R China
[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada
[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
关键词
Virasoro algebra; Q Heisenberg-Virasoro algebra; modules of the intermediate series; CLASSIFICATION; REPRESENTATIONS;
D O I
10.1017/S1446788710001436
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, it is proved that all irreducible Harish-Chandra modules over the Q Heisenberg-Virasoro algebra are of the intermediate series (all weight spaces are at most one-dimensional).
引用
收藏
页码:9 / 15
页数:7
相关论文
共 18 条
[1]   MODULI SPACES OF CURVES AND REPRESENTATION-THEORY [J].
ARBARELLO, E ;
DECONCINI, C ;
KAC, VG ;
PROCESI, C .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (01) :1-36
[2]   Highest weight modules over pre-exp-polynomial Lie algebras [J].
Batra, Punita ;
Guo, Xiangqian ;
Lu, Rencai ;
Zhao, Kaiming .
JOURNAL OF ALGEBRA, 2009, 322 (12) :4163-4180
[3]  
Bilig Y, 2003, CAN MATH BULL, V46, P529
[4]  
Billig Y, 2006, INT MATH RES NOTICES, V2006
[5]   Representations of Virasoro-Heisenberg algebras and Virasoro-toroidal algebras [J].
Fabbri, MA ;
Okoh, F .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1999, 51 (03) :523-545
[6]  
GUO X, FORUM MATH IN PRESS
[7]  
GUO X, CLASSIFICATION IRRED
[8]   Representations of the twisted Heisenberg-Virasoro algebra and the full toroidal Lie algebras [J].
Jiang, Qifen ;
Jiang, Cuipo .
ALGEBRA COLLOQUIUM, 2007, 14 (01) :117-134
[9]  
Kac V., 1987, Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras
[10]  
KAPLANSKY I, 1969, INFINITE ABELIAN GRO