WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
By Matthew Ondrus, Emilie Wiesner. 2008
123 citations recorded by the source corpus.
Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular decomposition, including the Virasoro algebra. We define Whittaker modules for the Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple Whittaker modules by central characters and composition series for general Whittaker modules.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b1c3b292a8f0000a6c2bdb70430ed14618b1dbf6
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial (2010, background): “In [18], a characterisation of Whittaker vectors in general U(Vir)-modules are given under the assumption that η is non-degenerate, i.”