On the Calculation of Group Characters

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dc.creatorGungormez, M.
dc.creatorKaradayi, H. R.
dc.date2000-08-04
dc.date2007-11-10
dc.date.accessioned2026-07-07T11:10:37Z
dc.date.available2026-07-07T11:10:37Z
dc.descriptionIt 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.
dc.description6 pages, no figure, Plain TeX
dc.identifierhttps://arxiv.org/abs/math-ph/0008014
dc.identifierhttp://arxiv.org/abs/math-ph/0008014
dc.identifierJ.Geom.Phys.57:2533-2538,2007
dc.identifierdoi:10.1016/j.geomphys.2007.09.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190828
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectRepresentation Theory
dc.titleOn the Calculation of Group Characters
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