Quaternionic Groups in Physics: A Panoramic Review

Details Quaternionic Groups in Physics: A Panoramic Review Quaternionic Groups in Physics: A Panoramic Review

1999-05-17

arxiv.org/abs/hep-th/9905125v1

Int.J.Theor.Phys. 38 (1999) 2197-2220

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, AMS. To appear in Int. J. Theor. Phys

Scientific paper

Due to the non-commutative nature of quaternions we introduce the concept of left and right action for quaternionic numbers. This gives the opportunity to manipulate appropriately the $H$-field. The standard problems arising in the definitions of transpose, determinant and trace for quaternionic matrices are overcome. We investigate the possibility to formulate a new approach to Quaternionic Group Theory. Our aim is to highlight the possibility of looking at new quaternionic groups by the use of left and right operators as fundamental step toward a clear and complete discussion of Unification Theories in Physics.

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