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Primitive ideals in the coordinate ring of quantum Euclidean space

Published online by Cambridge University Press:  17 April 2009

Sei-Qwon Oh  and
Chun-Gil Park
Sei-Qwon Oh
Affiliation:
Department of Mathematics, Chungnam National University, Taejon 305–764, Korea e-mail: sqoh@math.chungnam.ac.kr, cgpark@math.chungnam.ac.kr
Chun-Gil Park
Affiliation:
Department of Mathematics, Chungnam National University, Taejon 305–764, Korea e-mail: sqoh@math.chungnam.ac.kr, cgpark@math.chungnam.ac.kr
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Abstract

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A twisted group algebra kσP on a free Abelian group P with finite rank and a Poisson structure on kP are studied. As an application, the primitive spectrum of , the coordinate ring of quantum Euclidean space, is described and a Poisson algebra A is constructed so that there is a bijection between the primitive spectrum of and the symplectic spectrum of R.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 57 - 73
Copyright
Copyright © Australian Mathematical Society 1998

References

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