Whittaker Modules for the Virasoro Algebra

Understand

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.