Modules with highest weight for affine Lie algebras on Riemann surfaces
โ Scribed by O. K. Sheinman
- Publisher
- Springer US
- Year
- 1995
- Tongue
- English
- Weight
- 970 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0016-2663
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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