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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 2, Pages 322–334
DOI: https://doi.org/10.4213/tmf9328 (Mi tmf9328) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Rings of h-deformed differential operators

O. V. Ogievetskiiab, B. Herlemontb

a Kazan Federal University, Kazan, Russia
b Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
Full-text PDF (476 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9328
Abstract: We describe the center of the ring Diffh(n) h-deformed differential operators of type A. We establish an isomorphism between certain localizations of Diffh(n) and the Weyl algebra Wn, extended by n indeterminates.
Keywords: reduction algebra, oscillatory realization, ring of differential operators, Gelfand–Kirillov conjecture, dynamical Yang–Baxter equation.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00585
Ministry of Education and Science of the Russian Federation
The research of O. V. Ogievetsky was supported by the Program of Competitive Growth of Kazan Federal University and the Russian Foundation for Basic Research (Grant No. 17-01-00585).
Received: 24.12.2016
Revised: 22.02.2017
English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 2, Pages 1218–1229
DOI: https://doi.org/10.1134/S0040577917080104
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Ogievetskii, B. Herlemont, “Rings of h-deformed differential operators”, TMF, 192:2 (2017), 322–334; Theoret. and Math. Phys., 192:2 (2017), 1218–1229
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf9328
  • https://doi.org/10.4213/tmf9328
  • https://www.mathnet.ru/eng/tmf/v192/i2/p322
    Errata
    This publication is cited in the following 3 articles:
    1. Jonas T. Hartwig, Dwight Anderson Williams II, “Symplectic Differential Reduction Algebras and Generalized Weyl Algebras”, SIGMA, 21 (2025), 001, 15 pp.  mathnet  crossref
    2. Basile Herlemont, Oleg Ogievetsky, “Differential Calculus on h-Deformed Spaces”, SIGMA, 13 (2017), 082, 28 pp.  mathnet  crossref
    3. Khoroshkin S., Ogievetsky O., “Diagonal Reduction Algebra and the Reflection Equation”, Isr. J. Math., 221:2 (2017), 705–729  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:1549
    Full-text PDF :114
    References:61
    First page:17
     
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