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Complete Labeling of G 2-Representations. Trace Formulae for Racah Operators

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Campoamor Stursberg, Otto Ruttwig (2011) Complete Labeling of G 2-Representations. Trace Formulae for Racah Operators. International Journal of Theoretical Physics, 50 (7). pp. 2153-2160. ISSN 0020-7748

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Official URL: http://link.springer.com/article/10.1007%2Fs10773-010-0642-5


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Abstract

A trace formula is given that simultaneously allows to obtain the Casimir operators of G 2 and the (Racah) labeling operators for generic irreducible representations. The labeling operators are shown to arise as traces operators induced by a matrix decomposition. The eigenvalue problem is analyzed for the fundamental representations of G 2.


Item Type:Article
Uncontrolled Keywords:Racah operator; Exceptional Lie algebra; Trace formula
Subjects:Sciences > Physics > Quantum theory
ID Code:20828
Deposited On:15 Apr 2013 13:57
Last Modified:12 Dec 2018 15:13

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