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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 155–177 (Mi znsl4440)  
This article is cited in 9 scientific papers (total in 10 papers)

Gauss decomposition for quantum groups and supergroups

E. V. Damaskinskya, P. P. Kulishb, M. A. Sokolovc

a Military Technical Institute
b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
c St. Petersburg Institute of Machinery
Full-text PDF (1026 kB) Citations (10)
Abstract: The Gauss decompositions of quantum groups related to classical Lie groups and supergroups are considered by the elementary algebraic and $R$-matrix methods. The commutation relations between the generators of the new basis introduced by the decomposition are described in detail. It is shown that it is possible to reduce a number of independent generators to the dimension of the related classical group. The symplectic quantum group $Sp_q(2)$ and supergroups $GL_q(1, 1)$ and $GL_q(2, 1)$ are considered as examples. Bibliography: 66 titles.
Received: 15.12.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 208–223
DOI: https://doi.org/10.1007/BF02364982
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. V. Damaskinsky, P. P. Kulish, M. A. Sokolov, “Gauss decomposition for quantum groups and supergroups”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 155–177; J. Math. Sci. (New York), 88:2 (1998), 208–223
Citation in format AMSBIB
\Bibitem{DamKulSok95}
\by E.~V.~Damaskinsky, P.~P.~Kulish, M.~A.~Sokolov
\paper Gauss decomposition for quantum groups and supergroups
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 155--177
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364848}
\zmath{https://zbmath.org/?q=an:0899.17002|0886.17016}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 208--223
\crossref{https://doi.org/10.1007/BF02364982}
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  • https://www.mathnet.ru/eng/znsl/v224/p155
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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