On the calculation of group characters
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Publication:2475453
DOI10.1016/J.GEOMPHYS.2007.09.002zbMATH Open1147.17009arXivmath-ph/0008014OpenAlexW1987944487MaRDI QIDQ2475453
Author name not available (Why is that?)
Publication date: 11 March 2008
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/math-ph/0008014
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