1999, J. Algebra, 221, 293α314 . This allows us to construct various non-parabolic subalgebras of H H . We construct all the irreducible representations of H H as n, r n, r induced modules from such subalgebras. We show the existence of a partition of unity in H H , which is specialized to a partiti
A recursive formula for characters of simple Lie algebras
β Scribed by Steven N Kass
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 902 KB
- Volume
- 137
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We generalize I. Frenkel's orbital theory for non twisted affine Lie algebras to the case of twisted affine Lie algebras using a character formula for certain nonconnected compact Lie groups.
Using Littelmann's path model for highest weight representations of KacαMoody algebras, we obtain explicit combinatorial expressions for certain specialized characters of all Demazure modules of A Ε½1. and A Ε½2. .
## Abstract Let __k__ be an algebraically closed field of prime characteristic __p__ > 2, and let __S__(__n__) be the special Lie superalgebra over __k__. The isoβclasses of simple restricted modules of these algebras are classified, and the character formulas of restricted simple modules are given