Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N = 1 Schrödinger-Neveu-Schwarz Algebra-Reference-Cited by-同舟云学术

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

Published:2017-11-15 Issue:04 Volume:24 Page:697-704
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Fa Huanxia¹²,Han Jianzhi³,Li Junbo¹

Affiliation:

1. School of Mathematics and Statistics, Qingdao University, Qingdao, Shandong 266071, China

2. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu, Jiangsu 215500, China

3. School of Mathematical Sciences, Tongji University, Shanghai 200092, China

Abstract

It is shown that there are no simple mixed modules over the twisted N = 1 Schrödinger-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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386717000463

Reference11 articles.

1. The Derivation Algebra and Automorphism Group of the Twisted N = 2 Superconformal Algebra

2. Weight modules with a finite dimensional weight space over truncated Virasoro algebras

3. Schrödinger invariance and strongly anisotropic critical systems

4. Supersymmetric extensions of Schrödinger-invariance

5. Integrable Representations for the Extended Affine Lie Algebra Coordinated by Quantum Tori in Two Variables

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