Non-weight modules over the Block type algebra B'(p, q)

被引：0
|
作者：
Xie, Qiang [1 ]
Sun, Jiancai [1 ,2 ]
Xia, Chunguang [3 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
[3] China Univ Min & Technol, Sch Math, Xuzhou 221116, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 193卷
基金：
中国国家自然科学基金;
关键词：
Non-weight module; Block type algebra; U(h)-free modules; HARISH-CHANDRA MODULES; QUASIFINITE REPRESENTATIONS; LIE-ALGEBRAS; CLASSIFICATION; FAMILY;
D O I：
10.1016/j.geomphys.2023.104988
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the non-weight modules over the Block type algebra B'(p, q), where p (= 0), q are some complex numbers. We construct a family of such irreducible modules, determine their isomorphism classes, and show that they exhaust the B'(p, q) modules which are U(h)-free modules of rank 1, where h is the Cartan subalgebra. (c) 2023 Elsevier B.V. All rights reserved.
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页数：14
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