Whittaker modules for the super-Virasoro algebras
Dong Liu, Yufeng Pei, Limeng Xia
TL;DR
This paper introduces and analyzes Whittaker modules for super-Virasoro algebras, providing classification and criteria for irreducibility, advancing understanding of their representation theory.
Contribution
It defines Whittaker modules for super-Virasoro algebras and classifies simple modules with conditions for irreducibility, a novel extension in the field.
Findings
Classification of simple Whittaker modules
Necessary and sufficient conditions for irreducibility
Extension of Whittaker module theory to super-Virasoro algebras
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons