Unitary Modules for the Twisted Heisenberg—Virasoro Algebra  

作　　者：Xiufu Zhang Shaobin Tan Haifeng Lian 

机构地区：[1]School of Mathematics and Statistics,Jiangsu Normal University Xuzhou,Jiangsu 221116,China [2]School of Mathematical Sciences,Xiamen University,Xiamen,Fujian 361005,China [3]School of Computer and Information,Fujian Agriculture and Forestry University Fuzhou 350002,China

出　　处：《Algebra Colloquium》2019年第3期529-540,共12页代数集刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Nos.11571145,11531004,11471333 and 11471268).

摘　　要：The conjugate-linear anti-involutions and unitary irreducible modules of the intermediate series over the twisted Heisenberg-Virasoro algebra are classified,respectively.We prove that any unitary irreducible module of the intermediate series over the twisted Heisenberg-Virasoro algebra is of the form Aa,b,c for a ∈ R,6∈1/2+√-1R and c∈C.

关 键 词：TWISTED Heisenberg-Virasoro algebra conjugate-linear anti-involution unitarymodule Harish-Chandra module 

分 类 号：O15[理学—数学]