Generalized Reduction Procedure: Symplectic and Poisson Formalism
نویسندگان
چکیده
We present a generalized reduction procedure which encompasses the one based on the momentum map and the projection method. By using the duality between manifolds and ring of functions defined on them, we have cast our procedure in an algebraic context. In this framework we give a simple example of reduction in the non-commutative setting. Partially supported by the Italian Consiglio Nazionale delle Ricerche under Grant 203.01.61. Permanent addresses. J. Grabowski Institute of Matematics University of Warsaw, ul. Banacha 2, PL 02-097 Warsaw — Poland. [email protected] G. Landi Dipartimento di Scienze Matematiche Università di Trieste, P.le Europa, 1 I-34100 Trieste — Italy. [email protected] and Istituto Nazionale di Fisica Nucleare Sezione di Napoli Mostra d’Oltremare, Pad.20 I-80125 Napoli — Italy. G. Marmo Dipartimento di Scienze Fisiche Università di Napoli, Mostra d’Oltremare, Pad.19 I-80125 Napoli — Italy. [email protected] and Istituto Nazionale di Fisica Nucleare Sezione di Napoli Mostra d’Oltremare, Pad.20 I-80125 Napoli — Italy. G. Vilasi Dipartimento di Fisica Teorica e S.M.S.A. Università di Salerno, Via S. Allende, I-84081 Baronissi (SA) — Italy. [email protected] and Istituto Nazionale di Fisica Nucleare Sezione di Napoli Mostra d’Oltremare, Pad.20 I-80125 Napoli — Italy.
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تاریخ انتشار 1993