Modules with bounded weight multiplicities for simple Lie algebras
โ Scribed by Georgia Benkart; Daniel Britten; Frank Lemire
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- French
- Weight
- 267 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
Every simple module having character height at most one for a restricted Cartan-type Lie algebra g can be realized as a quotient of a module obtained by starting with a simple module S for the homogeneous component of degree zero in the natural grading of g, extending the action trivially to positiv
In this article we begin an investigation of the conjugacy classes of Borel subalgebras together with Verma modules induced from ''standard'' Borel subalgebras of a toroidal Lie algebra แ in two variables. We define, for each highest weight , a category O O of representations of แ that contain these
We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th