The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces

Details The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces

2001-11-16

arxiv.org/abs/math/0111190v1

Mathematics

Quantum Algebra

24 pages

Scientific paper

We investigate a class of algebras that provides multiparameter versions of both quantum symplectic space and quantum Euclidean $2n$-space. These algebras encompass the graded quantized Weyl algebras, the quantized Heisenberg space, and a class of algebras introduced by Oh. We describe the structure of the prime and primitive ideals of these algebras. Other structural results include normal separation and catenarity.

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