Whittaker modules for a Lie algebra of Block type

Mathematics – Representation Theory

Scientific paper

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Scientific paper

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.

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