A property of the structure constants of finite dimensional compact simple Lie algebras
โ Scribed by M. L. Metha; J. M. Normand; V. Gupta
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 555 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0010-3616
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๐ SIMILAR VOLUMES
For complex simple finite-dimensional Lie algebras we study the structure of generalized Verma modules which are torsion free with respect to some subalgebra ลฝ . isomorphic to sl 2 . We obtain a criterion of irreducibility and establish necessary and sufficient conditions for the existence of a non-
If is a split Lie algebra, which means that is a Lie algebra with a root decomposition = + ฮฑโ ฮฑ , then the roots of can be classified into different types: a root ฮฑ โ is said to be of nilpotent type if all subalgebras x ฮฑ x -ฮฑ = span x ฮฑ x -ฮฑ x ฮฑ x -ฮฑ for x ยฑฮฑ โ ยฑฮฑ are nilpotent, and of simple type