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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 238, Pages 124–143 (Mi tm349)  
This article is cited in 4 scientific papers (total in 4 papers)

Algebraic Characterization of the Monodromy of Generalized Knizhnik–Zamolodchikov Equations of $B_n$ Type

V. A. Golubevaa, V. P. Leksinb

a All-Russian Institute for Scientific and Technical Information of Russian Academy of Sciences
b Kolomna State Pedagogical Institute
Full-text PDF (283 kB) Citations (4)
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Abstract: The Drinfeld–Kohno theorem describes the monodromy of the Knizhnik–Zamolodchikov equation in terms of quasi-bialgebras. The present paper contains a generalization of this theorem for the case of a Knizhnik–Zamolodchikov type equation associated with the root system $B_n$. The characterization is given to those representations of the fundamental group of the complement to the singular divisor of the equation that can be realized as representations of the monodromy of the equation.
Received in December 2001
Bibliographic databases:
UDC: 519.4
Language: Russian
Citation: V. A. Golubeva, V. P. Leksin, “Algebraic Characterization of the Monodromy of Generalized Knizhnik–Zamolodchikov Equations of $B_n$ Type”, Monodromy in problems of algebraic geometry and differential equations, Collected papers, Trudy Mat. Inst. Steklova, 238, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 124–143; Proc. Steklov Inst. Math., 238 (2002), 115–133
Citation in format AMSBIB
\Bibitem{GolLek02}
\by V.~A.~Golubeva, V.~P.~Leksin
\paper Algebraic Characterization of the Monodromy of Generalized Knizhnik--Zamolodchikov Equations of $B_n$ Type
\inbook Monodromy in problems of algebraic geometry and differential equations
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 238
\pages 124--143
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1969309}
\zmath{https://zbmath.org/?q=an:1025.32015}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 238
\pages 115--133
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  • https://www.mathnet.ru/eng/tm349
  • https://www.mathnet.ru/eng/tm/v238/p124
    • This publication is cited in the following 4 articles:
    1. V. A. Golubeva, “On the Regge–Gelfand problem of construction of a Pfaff system of Fuchsian type with a given singular divisor”, Journal of Mathematical Sciences, 202:5 (2014), 653–666  mathnet  crossref
    2. Golubeva V.A., “Integrability conditions for two–parameter Knizhnik–Zamolodchikov equations of type B (n) in the tensor and spinor cases”, Doklady Mathematics, 79:2 (2009), 147–149  crossref  mathscinet  zmath  isi  elib  scopus
    3. Golubeva V.A., Leksin V.P., “Rigidity theorems for multiparametric deformations of algebraic structures, associated with the Knizhnik–Zamolodchikov equations”, Journal of Dynamical and Control Systems, 13:2 (2007), 161–171  crossref  mathscinet  zmath  isi  scopus
    4. Golubeva V.A., “On the Riemann–Hilbert correspondence for generalized Knizhnik–Zamolodchikov equations for different root systems”, Differential Equations and Quantum Groups - ANDREY A. BOLIBRUKH MEMORIAL VOLUME, Irma Lectures in Mathematics and Theoretical Physics, 9, 2007, 189–207  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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