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The group of Poisson automorphisms of the Poisson symplectic space

Published online by Cambridge University Press:  17 April 2009

Sei-Qwon Oh  and
Eun-Hee Cho
Sei-Qwon Oh
Affiliation:
Department of Mathematics, Chungnam National University, Daejeon 305–764, Korea, e-mail: sqoh@cnu.ac.kr
Eun-Hee Cho
Affiliation:
Department of Mathematics, Chungnam National University, Daejeon 305–764, Korea, e-mail: ehcho@math.cnu.ac.kr
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 505 - 516
Copyright
Copyright © Australian Mathematical Society 2005

References

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