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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 2, Pages 226–227 (Mi tmf1461)  

This article is cited in 58 scientific papers (total in 58 papers)

On Poisson homogeneous spaces of Poisson–Lie groups

V. G. Drinfeld
References:
Abstract: Poisson homogeneous spaces of a Poisson–Lie group GG are described in terms of Lagrangian subalgebras of D(g)D(g), where D(g)D(g) is the double of the Lie bialgebra gg corresponding to GG.
English version:
Theoretical and Mathematical Physics, 1993, Volume 95, Issue 2, Pages 524–525
DOI: https://doi.org/10.1007/BF01017137
Bibliographic databases:
Language: Russian
Citation: V. G. Drinfeld, “On Poisson homogeneous spaces of Poisson–Lie groups”, TMF, 95:2 (1993), 226–227; Theoret. and Math. Phys., 95:2 (1993), 524–525
Citation in format AMSBIB
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\by V.~G.~Drinfeld
\paper On Poisson homogeneous spaces of Poisson--Lie groups
\jour TMF
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\vol 95
\issue 2
\pages 226--227
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243249}
\zmath{https://zbmath.org/?q=an:0852.22018}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 2
\pages 524--525
\crossref{https://doi.org/10.1007/BF01017137}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993ML10100006}
Linking options:
  • https://www.mathnet.ru/eng/tmf1461
  • https://www.mathnet.ru/eng/tmf/v95/i2/p226
  • This publication is cited in the following 58 articles:
    1. K. De Commer, “Induction for representations of coideal doubles, with an application to quantum SL(2,R)”, Indagationes Mathematicae, 2025  crossref
    2. Jonas Schnitzer, “No-go theorems for rr-matrices in symplectic geometry”, CAM, 16:3 (2024), 448  crossref
    3. A. I. Mudrov, “Vector Bundles on Quantum Conjugacy Classes”, J Math Sci, 284:1 (2024), 93  crossref
    4. Sam Evens, Yu Li, “Abelian Ideals and the Variety of Lagrangian Subalgebras”, Journal of Pure and Applied Algebra, 2024, 107813  crossref
    5. Kenny De Commer, Stephen T. Moore, “Representation theory of the reflection equation algebra II: Theory of Shapes”, Journal of Algebra, 2024  crossref
    6. Joel Kamnitzer, Khoa Pham, Alex Weekes, “Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians”, Advances in Mathematics, 399 (2022), 108281  crossref
    7. Shahn Majid, Liam Williams, “Poisson Principal Bundles”, SIGMA, 17 (2021), 006, 23 pp.  mathnet  crossref
    8. Daniel Álvarez, “Integrability of quotients in Poisson and Dirac geometry”, Pacific J. Math., 311:1 (2021), 1  crossref
    9. Ivan Gutierrez-Sagredo, Francisco Jose Herranz, “Cayley–Klein Lie Bialgebras: Noncommutative Spaces, Drinfel'd Doubles and Kinematical Applications”, Symmetry, 13:7 (2021), 1249  crossref
    10. Jun Peng, Shizhuo Yu, “On the Standard Poisson Structure and a Frobenius Splitting of the Basic Affine Space”, International Mathematics Research Notices, 2021:15 (2021), 11618  crossref
    11. Angel Ballesteros, Ivan Gutierrez-Sagredo, Flavio Mercati, “Coisotropic Lie bialgebras and complementary dual Poisson homogeneous spaces”, J. Phys. A: Math. Theor., 54:31 (2021), 315203  crossref
    12. Jiang-Hua Lu, Shizhuo Yu, “Bott–Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces”, Sel. Math. New Ser., 26:5 (2020)  crossref
    13. K. De Commer, M. Matassa, “Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices”, Advances in Mathematics, 366 (2020), 107029  crossref
    14. Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J Herranz, “The Poincaré group as a Drinfel'd double”, Class. Quantum Grav., 36:2 (2019), 025003  crossref
    15. Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz, “The κ-(A)dS noncommutative spacetime”, Physics Letters B, 796 (2019), 93  crossref
    16. A. Mudrov, “Star product on complex sphere
      S2n
      S
      2 n”, Lett Math Phys, 108:6 (2018), 1443  crossref
    17. L. O. Chekhov, M. Mazzocco, “On a Poisson homogeneous space of bilinear forms with a Poisson–Lie action”, Russian Math. Surveys, 72:6 (2017), 1109–1156  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    18. Ángel Ballesteros, N. Rossano Bruno, Francisco J. Herranz, “Noncommutative Relativistic Spacetimes and Worldlines from 2 + 1 Quantum (Anti-)de Sitter Groups”, Advances in High Energy Physics, 2017 (2017), 1  crossref
    19. Angel Ballesteros, Catherine Meusburger, Pedro Naranjo, “AdS Poisson homogeneous spaces and Drinfel'd doubles”, J. Phys. A: Math. Theor., 50:39 (2017), 395202  crossref
    20. Salvatore Capozziello, Richard Pincak, Kabin Kanjamapornkul, “Anomaly on Superspace of Time Series Data”, Zeitschrift für Naturforschung A, 72:12 (2017), 1077  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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