Whittaker modules for the super-Virasoro algebras

Author:

Liu Dong12,Pei Yufeng3,Xia Limeng4

Affiliation:

1. College of Mathematics and System Sciences, Xinjiang University, 830064, P. R. China

2. Department of Mathematics, Huzhou University, Zhejiang Huzhou 313000, P. R. China

3. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

4. Institute of Applied System Analysis, Jiangsu University, Jiangsu Zhenjiang 212013, P. R. China

Abstract

In this paper, we define and study Whittaker modules for the super-Viraoro algebras, including the Neveu-Schwarz algebra and the Ramond algebra. We classify the simple Whittaker modules and obtain necessary and sufficient conditions for irreducibility of these modules.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

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4. Whittaker Modules over the N = 2 Super-BMS3 Algebra;Frontiers of Mathematics;2024-04-20

5. Irreducible modules over N = 2 superconformal algebras arising from algebraic D-modules;Journal of Mathematical Physics;2024-04-01

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