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

K. L. Horton
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Abstract

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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K. L. Horton. 2001-11-16. The prime and primitive spectra of multiparameter quantum symplectic and euclidean spaces. https://arxiv.org/abs/math/0111190

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