Yuly Billig, Kaiming Zhao
Published 2003-05-20Version 1
In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial ``highest weight'' has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra.
Faces of highest weight modules and the universal Weyl polyhedron
Classification of Irreducible integrable modules for toroidal Lie-algebras with finite dimensional weight spaces
Integrable Modules For Graded Lie Tori With Finite Dimensional Weight Spaces
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