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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 172, Pages 121–129 (Mi znsl4487)  
This article is cited in 3 scientific papers (total in 3 papers)

Representations of $*$-algebras with two generators and polynomial relations

V. L. Ostrovsky, Yu. S. Samoilenko
Full-text PDF (468 kB) Citations (3)
Abstract: It is proved that all $*$-algebras with quadratic relations are tame; a classification of their representations is given. Examples of algebras with general polynomial relations (both tame and wild) are studied.
English version:
Journal of Soviet Mathematics, 1992, Volume 59, Issue 5, Pages 1107–1113
DOI: https://doi.org/10.1007/BF01480694
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: V. L. Ostrovsky, Yu. S. Samoilenko, “Representations of $*$-algebras with two generators and polynomial relations”, Differential geometry, Lie groups and mechanics. Part 10, Zap. Nauchn. Sem. LOMI, 172, "Nauka", Leningrad. Otdel., Leningrad, 1989, 121–129; J. Soviet Math., 59:5 (1992), 1107–1113
Citation in format AMSBIB
\Bibitem{OstSam89}
\by V.~L.~Ostrovsky, Yu.~S.~Samoilenko
\paper Representations of $*$-algebras with two generators and polynomial relations
\inbook Differential geometry, Lie groups and mechanics. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 172
\pages 121--129
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015705}
\zmath{https://zbmath.org/?q=an:0779.47033|0709.47041}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 59
\issue 5
\pages 1107--1113
\crossref{https://doi.org/10.1007/BF01480694}
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  • https://www.mathnet.ru/eng/znsl/v172/p121
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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