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This article is cited in 1 scientific paper (total in 1 paper)
Quantum Algebraic Tori
A. N. Panov Samara State University
Abstract:
In the paper, quantum algebraic tori over an arbitrary field are studied. A characterization of quantum algebraic tori in terms of exact sequences is given. A description of the center is obtained. In the case of roots of unity, a quantum torus defines a family of central simple algebras over the spectrum of the center. For quantum tori of dimension 2, systems of generating elements are constructed and defining relations are written out. The case of roots of unity is considered.
Received: 04.11.1998
Citation:
A. N. Panov, “Quantum Algebraic Tori”, Mat. Zametki, 69:4 (2001), 591–599; Math. Notes, 69:4 (2001), 537–545
Linking options:
https://www.mathnet.ru/eng/mzm525https://doi.org/10.4213/mzm525 https://www.mathnet.ru/eng/mzm/v69/i4/p591
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