Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Contemporary Mathematics. Fundamental Directions, 2008, Volume 29, Pages 176–185 (Mi cmfd129)  
This article is cited in 2 scientific papers (total in 2 papers)

Deformations of CCR, their ∗∗-representations, and enveloping C∗C∗-algebras

D. P. Proskurina, Yu. S. Samoilenkob

a National Taras Shevchenko University of Kyiv, The Faculty of Cybernetics
b Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (169 kB) Citations (2)
References:
PDF
HTML
Abstract: In this paper we provide a review of recent results related to the representation theory and properties of enveloping C∗C∗-algebras of Wick deformations for canonical commutative and anticommutative relations of quantum mechanics.
English version:
Journal of Mathematical Sciences, 2010, Volume 164, Issue 4, Pages 648–657
DOI: https://doi.org/10.1007/s10958-010-9767-6
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: D. P. Proskurin, Yu. S. Samoilenko, “Deformations of CCR, their ∗∗-representations, and enveloping C∗C∗-algebras”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 29, PFUR, M., 2008, 176–185; Journal of Mathematical Sciences, 164:4 (2010), 648–657
Citation in format AMSBIB
\Bibitem{ProSam08}
\by D.~P.~Proskurin, Yu.~S.~Samoilenko
\paper Deformations of CCR, their $^*$-representations, and enveloping $C^*$-algebras
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2008
\vol 29
\pages 176--185
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2472269}
\zmath{https://zbmath.org/?q=an:1240.46095}
\transl
\jour Journal of Mathematical Sciences
\yr 2010
\vol 164
\issue 4
\pages 648--657
\crossref{https://doi.org/10.1007/s10958-010-9767-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949290101}
Linking options:
  • https://www.mathnet.ru/eng/cmfd129
  • https://www.mathnet.ru/eng/cmfd/v29/p176
    • This publication is cited in the following 2 articles:
    1. Wolfgang Bock, Vyacheslav Futorny, Mikhail Neklyudov, “Convex topological algebras via linear vector fields and Cuntz algebras”, Journal of Pure and Applied Algebra, 225:3 (2021), 106535  crossref
    2. Marek Bożejko, Eugene Lytvynov, Janusz Wysoczański, “Fock representations of Q-deformed commutation relations”, Journal of Mathematical Physics, 58:7 (2017)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:338
    Full-text PDF :132
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025