Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893620 | Journal of Geometry and Physics | 2007 | 6 Pages |
Abstract
It is known that characters of irreducible representations of finite Lie algebras can be obtained using the Weyl character formula including Weyl group summations which make actual calculations almost impossible except for a few Lie algebras of lower rank. By starting from the Weyl character formula, we show that these characters can be re-expressed without referring to Weyl group summations. Some useful technical points are given in detail for the instructive example of G2G2 Lie algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
M. Gungormez, H.R. Karadayi,