By Shlomo Sternberg (auth.), Konrad Bleuler, Axel Reetz, Herbert Rainer Petry (eds.)

ISBN-10: 3540089357

ISBN-13: 9783540089353

ISBN-10: 3540357211

ISBN-13: 9783540357216

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Additional resources for Differential Geometrical Methods in Mathematical Physics II: Proceedings, University of Bonn, July 13–16, 1977

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A pOint, X is such that every Hamiltonian vector field X where Ds h of Cjl identity outside some compact subset. f since consists of diffeomorphisms consists of Hamiltonian vector fields of compact support. assume, for simplicity, that the topology of is of the form q Thus Let dim X = 2n so that generalized function on X. n w f) = J Zo as n uf w denotes Liouville measure on The "tangent space to the orbit" X T~H and where u consists of all is a 52 {f, H} for all f where has compact support. fu {f, of compact support.

H to consist of smooth functions of compact support. , where The with the space of smooth functions of We will take X. A pOint, X is such that every Hamiltonian vector field X where Ds h of Cjl identity outside some compact subset. f since consists of diffeomorphisms consists of Hamiltonian vector fields of compact support. assume, for simplicity, that the topology of is of the form q Thus Let dim X = 2n so that generalized function on X. n w f) = J Zo as n uf w denotes Liouville measure on The "tangent space to the orbit" X T~H and where u consists of all is a 52 {f, H} for all f where has compact support.

That is, we must choose the correct The search for the correct group years, been one of the central topics of research in physics. the theory of unitary symmetry have shown that the group sense, of the internal symmetry group. G has, for the past twenty The remarkable successes of must be a part, in some SU(3) On the other hand, classical electromagnetic theory shows that somehow the group of conformal symmetries of (flat) space time should be brought into the picture. In the present section we shall study a class of groups (and other algebraic structures) related to the conformal group and see that some of these groups can also be related to Needless to say, the results of this section are preliminary, and, from SU(3).

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Differential Geometrical Methods in Mathematical Physics II: Proceedings, University of Bonn, July 13–16, 1977 by Shlomo Sternberg (auth.), Konrad Bleuler, Axel Reetz, Herbert Rainer Petry (eds.)


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