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Poisson Structures on the Poincaré Group

Identifieur interne : 002E49 ( Istex/Curation ); précédent : 002E48; suivant : 002E50

Poisson Structures on the Poincaré Group

Auteurs : S. Zakrzewski

Source :

RBID : ISTEX:E2506EC9E873C1D8036559D238EC840D4C51C347

Abstract

Abstract:: An introduction to inhomogeneous Poisson groups is given. Poisson inhomogeneous O(p,q) are shown to be coboundary, the generalized classical Yang-Baxter equation having only a one-dimensional right-hand side. Normal forms of the classical r-matrices for the Poincaré group (inhomogeneous O(1,3)) are calculated.

Url:
DOI: 10.1007/s002200050091

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ISTEX:E2506EC9E873C1D8036559D238EC840D4C51C347

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S. Zakrzewski
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