Quantum $n$-space as a quotient of classical $n$-space
نویسندگان
چکیده
منابع مشابه
QUANTUM n-SPACE AS A QUOTIENT OF CLASSICAL n-SPACE
The prime and primitive spectra of Oq(k), the multiparameter quantized coordinate ring of affine n-space over an algebraically closed field k, are shown to be topological quotients of the corresponding classical spectra, specO(kn) and maxO(kn) ≈ kn, provided the multiplicative group generated by the entries of q avoids −1.
متن کامل1 0 M ay 1 99 9 QUANTUM n - SPACE AS A QUOTIENT OF CLASSICAL n - SPACE
The prime and primitive spectra of Oq(kn), the multiparameter quantized coordinate ring of affine n-space over an algebraically closed field k, are shown to be topological quotients of the corresponding classical spectra, specO(k) and maxO(k) ≈ k, provided the multiplicative group generated by the entries of q avoids −1.
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Alexander von Humboldt Fellow e-mail:[email protected] Fellow of Danish Research Academy e-mail:[email protected] We study quantum deformed gl(n) and igl(n) algebras on a quantum space discussing multi-parametric extension. We realize elements of deformed gl(n) and igl(n) algebras by a quantum fermionic space. We investigate a map between deformed igl(2) algebras of our b...
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Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02639-8