Semigroup Methods In Supersymmetric Theories Of Elementary Particles

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dc.creatorDuplij, Steven
dc.date1999-10-28
dc.date.accessioned2026-07-07T04:33:03Z
dc.date.available2026-07-07T04:33:03Z
dc.descriptionThe thesis is devoted to abstract, geometric and symmetric aspects of modern elementary particle theories. A new direction in constructing supersymmetric and superstring models based on consequent and strong consideration and inclusion of semigroups, ideals and noninvertible properties into their mathematical structure is proposed. A theory of semisupermanifolds (Chapter I) and noninvertible generalization of superconformal (Chapters II-III) and hyperbolic geometries (Chapter V) are introduced. New continuous supermatrix representations of semigroups (Chapter IV) are obtained. The carried out investigations will allow us to formulate a theoretical model of elementary particles based on supersymmetry in terms of more general categories and new structures - as a theory of abstract and supermatrix semigroups which includes previous theories as a particular invertible case in abstract sense.
dc.descriptionHabilitation Thesis in Russian, 483 pp., 3 Figures, 3 Tables, 832 citations, 7 Appendices (for other formats of the thesis, autoreferat (synopsis), and by chapters available from http://gluon.physik.uni-kl.de/~duplij/disser.htm or http://www-home.univer.kharkov.ua/duplij/disserk.htm)
dc.identifierhttps://arxiv.org/abs/math-ph/9910045
dc.identifierhttp://arxiv.org/abs/math-ph/9910045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58426
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject20M20;81T30
dc.titleSemigroup Methods In Supersymmetric Theories Of Elementary Particles
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