Whittaker modules for the twisted Heisenberg–Virasoro algebra

Whittaker Modules for the Twisted Heisenberg-virasoro Algebra

We define Whittaker modules for the twisted Heisenberg-Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple Whittaker modules by central characters.

Whittaker Modules for a Lie Algebra of Block Type

In this paper, we study Whittaker modules for a Lie algebras of Block type. We define Whittaker modules and under some conditions, obtain a one to one correspondence between the set of isomorphic classes of Whittaker modules over this algebra and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra.

Harish-chandra Modules over the Twisted Heisenberg-virasoro Algebra

In this paper, we classify all indecomposable Harish-Chandra modules of the intermediate series over the twisted Heisenberg-Virasoro algebra. Meanwhile, some bosonic modules are also studied.

Twisted Whittaker models for metaplectic groups

1 0 Fe b 20 09 WHITTAKER MODULES FOR THE W - ALGEBRA W ( 2 , 2 )

In this paper, Whittaker modules for the W -algebra W (2, 2) are studied. We obtain analogues to several results from the classical setting and the case of the Virasoro algebra, including a classification of simple Whittaker modules by central characters and composition series for general Whittaker modules.