Whittaker modules for a subalgebra of N=2 superconformal algebra

被引：0

作者：

Jing, Naihuan ^{[1
,2
]}

Xu, Pengfa ^{[1
]}

Zhang, Honglian ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] North Carolina State Univ, Dept Math, Raleigh, NC USA

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 10期

关键词：

N=2 superconformal algebra; Whittaker module; Whittaker vector; LIE-ALGEBRA; CATEGORIES; VECTORS;

D O I：

10.1080/00927872.2024.2343750

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, Whittaker modules are studied for a subalgebra q(& varepsilon;) of the N =2 superconformal algebra. The Whittaker modules are classified by central characters. Additionally, criteria for the irreducibility of the Whittaker modules are given.

引用

页码：4161 / 4179

页数：19

共 50 条

[1] The structure of verma modules over the N=2 superconformal algebra
Semikhatov, AM
Tipunin, IY
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 195 (01) : 129 - 173
[2] Whittaker modules over the N=2 Neveu-Schwarz algebra
Lan, Chao
Liu, Dong
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[3] The Structure of Verma Modules over the N \equals; 2 Superconformal Algebra
A. M. Semikhatov
I. Y. Tipunin
[J]. Communications in Mathematical Physics, 1998, 195 : 129 - 173
[4] WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
Ondrus, Matthew
Wiesner, Emilie
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2009, 8 (03) : 363 - 377
[5] Whittaker Modules over the N=2 Super-BMS3 Algebra
Wu, Qingyan
Gao, Shoulan
Liu, Dong
[J]. FRONTIERS OF MATHEMATICS, 2024,
[6] A REALIZATION OF CERTAIN MODULES FOR THE N=4 SUPERCONFORMAL ALGEBRA AND THE AFFINE LIE ALGEBRA A2(1)
Adamovic, Drazen
[J]. TRANSFORMATION GROUPS, 2016, 21 (02) : 299 - 327
[7] A REALIZATION OF CERTAIN MODULES FOR THE N = 4 SUPERCONFORMAL ALGEBRA AND THE AFFINE LIE ALGEBRA A2(1)
DRAŽEN ADAMOVIĆ
[J]. Transformation Groups, 2016, 21 : 299 - 327
[8] Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra
Li, Junbo
Su, Yucai
Zhu, Linsheng
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (08)
[9] EXTENDED N = 2 SUPERCONFORMAL ALGEBRA
CHUNG, WS
KANG, SY
LEE, JJ
KIM, JW
[J]. PHYSICAL REVIEW D, 1990, 41 (04): : 1205 - 1208
[10] Whittaker modules and quasi-Whittaker modules for the Schr?dinger algebra in (2+1)-dimensional spacetime
Cai, Yan-an
Liu, Zedong
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2023, 186

← 1 2 3 4 5 →