On the Calculation of Group Characters

Details On the Calculation of Group Characters On the Calculation of Group Characters

2000-08-04

arxiv.org/abs/math-ph/0008014v3

J.Geom.Phys.57:2533-2538,2007

Physics

Mathematical Physics

6 pages, no figure, Plain TeX

Scientific paper

10.1016/j.geomphys.2007.09.002

It is known that characters of irreducible representations of finite Lie algebras can be obtained using theWeyl 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 G2 Lie algebra.

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