Article ID Journal Published Year Pages File Type
4588049 Journal of Algebra 2008 51 Pages PDF
Abstract

A class of Poisson algebras considered as a Poisson version of the multiparameter quantized coordinate rings of symplectic and Euclidean 2n-spaces is constructed and Poisson structures of are described. In particular, it is proved that the prime Poisson and Poisson primitive spectra of are homeomorphic to the prime and primitive spectra of in the case when the multiplicative subgroup of k× generated by all parameters in is torsion free and, as a corollary, that the prime and primitive spectra of are topological quotients of the prime and maximal spectra of the corresponding commutative polynomial ring.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory