Geodesic
Irreducible modules over the Virasoro algebra
Documenta mathematica, Tome 16 (2011), pp. 709-721.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, we construct two different classes of Virasoro modules from twisting Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra by an automorphism of the twisted Heisenberg-Virasoro algebra. Weight modules in the first class are some irreducible highest weight modules over the twisted Heisenberg-Virasoro algebra. The non-weight modules in the first class are irreducible Whittaker modules over the Virasoro algebra. We obtain concrete bases for all irreducible Whittaker modules (instead of a quotient of modules). This generalizes known results on Whittaker modules. The second class of modules are non-weight modules which are not Whittaker modules. We determine the irreducibility and isomorphism classes of these modules.
Classification : 17B10, 17B20, 17B65, 17B66, 17B68
Keywords: Virasoro algebra, Whittaker module, irreducible module 
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     title = {Irreducible modules over the {Virasoro} algebra},
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Lü, Rencai; Guo, Xiangqian; Zhao, Kaiming. Irreducible modules over the Virasoro algebra. Documenta mathematica, Tome 16 (2011), pp. 709-721. http://geodesic.mathdoc.fr/item/DOCMA_2011__16__a9/