Poisson Structures on the Poincaré Group
Identifieur interne : 002E49 ( Istex/Curation ); précédent : 002E48; suivant : 002E50Poisson Structures on the Poincaré Group
Auteurs : S. ZakrzewskiSource :
- Communications in Mathematical Physics [ 0010-3616 ] ; 1997-05-01.
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.
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DOI: 10.1007/s002200050091
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S. Zakrzewski<affiliation><mods:affiliation>Department of Mathematical Methods in Physics, University of Warsaw, Hoża 74, 00-682 Warsaw, Poland, PL</mods:affiliation>
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<front><div type="abstract" xml:lang="en">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.</div>
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