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The group of Poisson automorphisms of the Poisson symplectic space

Authors :
Sei-Qwon Oh
Eun-Hee Cho
Source :
Bulletin of the Australian Mathematical Society. 71:505-516
Publication Year :
2005
Publisher :
Cambridge University Press (CUP), 2005.

Abstract

The group of Poisson automorphisms of the coordinate ring of Poisson symplectic 2n-space is isomorphic to the algebraic torus (κ✶)n+1 and it confirms that the algebra constructed by K.L. Horton (2003) is a quantisation of the coordinate ring of Poisson symplectic 2n-space.

Details

ISSN :
17551633 and 00049727
Volume :
71
Database :
OpenAIRE
Journal :
Bulletin of the Australian Mathematical Society
Accession number :
edsair.doi...........b6ecaf3353c2269e5396003baec06eaa