A classification of simple Lie modules having a 1-dimensional weight space

Author:

Britten D. J.,Lemire F. W.

Abstract

Let L L denote a simple Lie algebra over the complex numbers. In this paper, we classify and construct all simple L L modules which may be infinite dimensional but have at least one 1 1 -dimensional weight space. This completes the study begun earlier by the authors for the case of L = A n L = {A_n} . The approach presented here relies heavily on the results of Suren Fernando whose dissertation dealt with simple weight modules and their weight systems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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