Classical invariant theory and the equivalence problem for particle Lagrangians
نویسندگان
چکیده
منابع مشابه
Classical Invariant Theory and the Equivalence Problem for Particle Lagrangians
The problem of equivalence of binary forms under the general linear group is shown to be a special case of the problem of equivalence of particle Lagrangians under the pseudogroup of transformations of both the independent and dependent variables. The latter problem has a complete solution based on the equivalence method of Cartan. This leads to the determination of a universal function which r...
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Let SP2n(R) = SP2n = Sp be the real symplectic group of rank n. Let Sp denote the two-fold cover of Sp. There is a unitary representation, constructed by Shale [Sh] and Weil [WA], of Sp that is of considerable interest in the theory of automorphic forms. We denote this representation by wand call it the oscillator representation. The purpose of this paper is to establish about w a fact that sho...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1988
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1988-15579-6