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Trace Operators for the State Labelling Problem in the Exceptional Lie Algebra F4

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Campoamor Stursberg, Otto Ruttwig (2011) Trace Operators for the State Labelling Problem in the Exceptional Lie Algebra F4. Acta Physica Polonica B, 42 (8). pp. 1797-1813. ISSN 0587-4254

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Official URL: http://www.actaphys.uj.edu.pl/vol42/abs/v42p1797




Abstract

The Casimir operators of the exceptional Lie algebra F4 are constructed using the method of trace operators. Taking into account a decomposition of matrices related to the embedding F4 _ so(9), subgroup scalars for the corresponding state labelling problem are determined as traces of powers of the components, enabling us to propose an orthonormal basis of states for each generic irreducible representation (IRREP) of F4. The basis of eigenstates for the IRREP [1000] of F4 is explicitly given.


Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:20800
Deposited On:12 Apr 2013 13:54
Last Modified:12 Dec 2018 15:13

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