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arXiv 1999-05-10 0 views

Quantum n-space as a quotient of classical n-space

Goodearl, K. R. · Letzter, E. S.

Original · EN

Let A denote the commutative polynomial ring in n variables, over an algebraically closed field k, and let R denote the standard multiparameter quantization of A determined by a multiplicatively antisymmetric n× n matrix (qij). In this paper we prove, when -1 cannot be multiplicatively generated by the qij, that the primitive spectrum of R is a topological quotient of kⁿ. Under the same hypothesis, we further prove that the prime spectrum of R is a topological quotient of the prime spectrum of A.

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