Comments on the Regular and Irregular IsoRepresentations of the Lie-Santilli IsoAlgebras
American Journal of Modern Physics
Volume 4, Issue 5-1, October 2015, Pages: 76-82
Received: Jul. 27, 2015; Accepted: Jul. 28, 2015; Published: Aug. 21, 2015
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Richard Anderson, The R. M. Santilli Foundation, Palm Harbor, Florida, U.S.A.
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As it is well known, 20th century applied mathematics with related physical and chemical theories, are solely applicable to point-like particles moving in vacuum under Hamiltonian interactions (exterior dynamical problems). In this note, we study the covering of 20th century mathematics discovered by R. M. Santilli, today known as Santilli isomathematics, representing particles as being extended, non-spherical and deformable while moving within a physical medium under Hamiltonian and non-Hamiltonian interactions (interior dynamical problems). In particular, we focus the attention on a central part of isomathematics given by the isorepresentations of the Lie-Santilli isoalgebras that have been classified into regular (irregular) isorepresentations depending on whether the structure quantities of the isocommutation rules are constants (functions of local variables). The importance of the study of the isorepresentation theory for a number of physical and chemical applications is pointed out
Lie Theory, Lie-Santilli Isotheory, Isorepresentations
To cite this article
Richard Anderson, Comments on the Regular and Irregular IsoRepresentations of the Lie-Santilli IsoAlgebras, American Journal of Modern Physics. Special Issue: Issue I: Foundations of Hadronic Mathematics. Vol. 4, No. 5-1, 2015, pp. 76-82. doi: 10.11648/j.ajmp.s.2015040501.19
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