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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 209, Pages 168–178 (Mi znsl5850)  
The role of solvable groups in quantization of Lie algebras

V. D. Lyakhovsky

Saint Petersburg State University
Full-text PDF (479 kB)
Abstract: The wide class of quantum universal enveloping algebras is proved to have the unique correspondence to Hopf algebras $H$ with spectrum $Q(H)$ in the category of groups. Such quantum algebras are quantum groups for simply connected solvable Lie groups $P(H)$. Bibliography: 7 titles.
Received: 28.07.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 1, Pages 106–112
DOI: https://doi.org/10.1007/BF02398465
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. D. Lyakhovsky, “The role of solvable groups in quantization of Lie algebras”, Questions of quantum field theory and statistical physics. Part 12, Zap. Nauchn. Sem. POMI, 209, Nauka, St. Petersburg, 1994, 168–178; J. Math. Sci., 83:1 (1997), 106–112
Citation in format AMSBIB
\Bibitem{Lya94}
\by V.~D.~Lyakhovsky
\paper The role of solvable groups in quantization of Lie algebras
\inbook Questions of quantum field theory and statistical physics. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 209
\pages 168--178
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5850}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1328640}
\zmath{https://zbmath.org/?q=an:0848.17011|0868.17004}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 1
\pages 106--112
\crossref{https://doi.org/10.1007/BF02398465}
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