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Quaternion-Octonion Unitary Symmetries and Analogous Casimir Operators

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arxiv 1205.4619 v1 pith:FTJUP26S submitted 2012-04-03 physics.gen-ph

Pushpa , P. S. Bisht , Tianjun Li , O. P. S. Negi This is my paper · ORCID
classification physics.gen-ph
keywords symmetriescasimirflavoroctonionsoperatorsquaternionstermsunitary
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An attempt has been made to investigate the global SU(2) and SU(3) unitary flavor symmetries systematically in terms of quaternion and octonion respectively. It is shown that these symmetries are suitably handled with quaternions and octonions in order to obtain their generators, commutation rules and symmetry properties. Accordingly, Casimir operators for SU(2)and SU(3) flavor symmetries are also constructed for the proper testing of these symmetries in terms of quaternions and octonions.

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