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Weyl kinematical groups of electromagnetic and energy-momentum tensors,perpendicular (constant and uniform) fields. We compare the results with those obtained in the Poincaré context. As a physical application, we consider the invariance conditions on associated energy-momentum tensors and get meaningful results in connection with the description of zero rest mass part

吹牛大王

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Group Theoretical Methods in Physics978-3-540-38859-3Series ISSN 0075-8450 Series E-ISSN 1616-6361

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https://doi.org/10.1007/978-3-322-87628-7In this note we reconsider the transition from P⊗U(1) to the N extended Galilei group ..,first discussed by Saletan. To this aim, we first analyse the relations between the groups G⊗U(1) and .. , where G is a Lie group of trivial H.(G,U(1)) cohomology and .. is a central extension of G. (obtained from G by contraction) by U(1).

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,Linearization — A unified approach,We show, by using examples, that the IST method, Hirota T. formalism, and the Kac-Moody constructions of Date et.al. all yield the same inverse linearization operator in the sense of Flato et.al. Hence, they solve the Cauchy problem for the same set of initial conditions.

你正派

Young tableaux for the Lie superalgebra OSP(M/N),Startinagfrom the Kac-Dvnkin diagrams for irreducible renresentations, we introduce supertableaux.