Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N=1 Schrodinger-Neveu-Schwarz Algebra

被引：1

作者：

Fa, Huanxia ^{[1
,2
]}

Han, Jianzhi ^{[3
]}

Li, Junbo ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China

[2] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China

[3] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2017年 / 24卷 / 04期

关键词：

twisted N=1 Schrodinger-Neveu-Schwarz algebra; weight module; irreducible module; VIRASORO ALGEBRA; CLASSIFICATION; INVARIANCE;

D O I：

10.1142/S1005386717000463

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that there are no simple mixed modules over the twisted N = 1 Schrodinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a non-trivial finite-dimensional weight space is a Harish-Chandra module.

引用

页码：697 / 704

页数：8

共 50 条

[21] Simple weight modules with finite-dimensional weight spaces over Witt superalgebras
Xue, Yaohui
Lu, Rencai
JOURNAL OF ALGEBRA, 2021, 574 : 92 - 116
[22] Tight irreducible finite weight modules over twisted affine Lie superalgebras
Yousofzadeh, Malihe
JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 225 (10)
[23] THE CLASSIFICATION OF FINITE-DIMENSIONAL IRREDUCIBLE MODULES OF BANNAI/ITO ALGEBRA
Hou, Bo
Wang, Meng
Gao, Suogang
COMMUNICATIONS IN ALGEBRA, 2016, 44 (03) : 919 - 943
[24] Whittaker modules over the N=2 Neveu-Schwarz algebra
Lan, Chao
Liu, Dong
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[25] Finite-Dimensional Irreducible Modules of the Racah Algebra at Characteristic Zero
Huang, Hau-Wen
Bockting-Conrad, Sarah
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2020, 16
[26] Finite-Dimensional Irreducible Modules of the Universal Askey–Wilson Algebra
Hau-Wen Huang
Communications in Mathematical Physics, 2015, 340 : 959 - 984
[27] Characters of Finite-Dimensional Irreducible q(n) -Modules
Ivan Penkov
Vera Serganova
Letters in Mathematical Physics, 1997, 40 : 147 - 158
[28] Characters of finite-dimensional irreducible q(n)-modules
Penkov, I
Serganova, V
LETTERS IN MATHEMATICAL PHYSICS, 1997, 40 (02) : 147 - 158
[29] Classification of Simple Weight Modules over the Schrodinger Algebra
Bavula, V. V.
Lu, T.
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2018, 61 (01): : 16 - 39
[30] On finite-dimensional irreducible modules for the universal Askey-Wilson algebra
Wang, Wanxia
Yang, Shilin
AIMS MATHEMATICS, 2023, 8 (08): : 18930 - 18947

← 1 2 3 4 5 →