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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 292, Pages 40–61 (Mi znsl1666)  
This article is cited in 2 scientific papers (total in 2 papers)

Canonical forms of skew polynomial rings

V. M. Maksimovab

a Institute of Mathematics, University of Bialystok
b Institute of Computer Science, Bialystok University
Full-text PDF (224 kB) Citations (2)
Abstract: We consider special relations which lead to skew polynomial rings with the following property: every commutation relation between the elements of the basis of the ring and the coefficients can be calculated. Such relations are called canonical forms of the skew polynomial ring. For example, the Weyl relation will be a canonical form for the Weyl algebra. Obviously, such skew polynomial rings can be applied to the representation theory and to mathematical physics.
Received: 30.09.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 126, Issue 2, Pages 1064–1076
DOI: https://doi.org/10.1007/s10958-005-0083-5
Bibliographic databases:
UDC: 512.55
Language: English
Citation: V. M. Maksimov, “Canonical forms of skew polynomial rings”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VII, Zap. Nauchn. Sem. POMI, 292, POMI, St. Petersburg, 2002, 40–61; J. Math. Sci. (N. Y.), 126:2 (2005), 1064–1076
Citation in format AMSBIB
\Bibitem{Mak02}
\by V.~M.~Maksimov
\paper Canonical forms of skew polynomial rings
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VII
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 292
\pages 40--61
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1666}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1944084}
\zmath{https://zbmath.org/?q=an:1081.16502}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 126
\issue 2
\pages 1064--1076
\crossref{https://doi.org/10.1007/s10958-005-0083-5}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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