Whittaker Categories for the Virasoro Algebra

This article builds on work from [16 Ondrus , M. , Wiesner , E. ( 2009 ). Whittaker modules for the Virasoro algebra . J. Algebra Appl. 8 ( 3 ): 363 – 377 .[Crossref], [Web of Science ®] , [Google Scholar]], where the authors described Whittaker modules for the Virasoro algebra. Using the framework outlined in [3 Batra , P. , Mazorchuk , V. (2011). Blocks and modules for Whittaker pairs. J. Pure Appl. Algebra. 215:1552–1568.[Crossref], [Web of Science ®] , [Google Scholar]], the current article investigates a category of Virasoro-algebra modules that includes Whittaker modules. Results in this article include a classification of the simple modules in the category and a description of certain induced modules that are a natural generalization of simple Whittaker modules.