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Matematicheskie Zametki, 2001, Volume 69, Issue 4, Pages 591–599
DOI: https://doi.org/10.4213/mzm525 (Mi mzm525) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Quantum Algebraic Tori

A. N. Panov

Samara State University
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DOI: https://doi.org/10.4213/mzm525
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
English version:
Mathematical Notes, 2001, Volume 69, Issue 4, Pages 537–545
DOI: https://doi.org/10.1023/A:1010264331776
Bibliographic databases:
UDC: 512.66
Language: Russian
Citation: A. N. Panov, “Quantum Algebraic Tori”, Mat. Zametki, 69:4 (2001), 591–599; Math. Notes, 69:4 (2001), 537–545
Citation in format AMSBIB
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\jour Math. Notes
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\pages 537--545
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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