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Funktsional'nyi Analiz i ego Prilozheniya
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Funktsional'nyi Analiz i ego Prilozheniya, 1980, Volume 14, Issue 1, Pages 1–13 (Mi faa1763)  

This article is cited in 71 scientific papers (total in 72 papers)

Invariant convex cones and orderings in Lie groups

È. B. Vinberg
References:
Received: 22.01.1979
English version:
Functional Analysis and Its Applications, 1980, Volume 14, Issue 1, Pages 1–10
DOI: https://doi.org/10.1007/BF01078407
Bibliographic databases:
Document Type: Article
UDC: 519.46
Language: Russian
Citation: È. B. Vinberg, “Invariant convex cones and orderings in Lie groups”, Funktsional. Anal. i Prilozhen., 14:1 (1980), 1–13; Funct. Anal. Appl., 14:1 (1980), 1–10
Citation in format AMSBIB
\Bibitem{Vin80}
\by \`E.~B.~Vinberg
\paper Invariant convex cones and orderings in Lie groups
\jour Funktsional. Anal. i Prilozhen.
\yr 1980
\vol 14
\issue 1
\pages 1--13
\mathnet{http://mi.mathnet.ru/faa1763}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=565090}
\zmath{https://zbmath.org/?q=an:0452.22014}
\transl
\jour Funct. Anal. Appl.
\yr 1980
\vol 14
\issue 1
\pages 1--10
\crossref{https://doi.org/10.1007/BF01078407}
Linking options:
  • https://www.mathnet.ru/eng/faa1763
  • https://www.mathnet.ru/eng/faa/v14/i1/p1
  • This publication is cited in the following 72 articles:
    1. Velleda Baldoni, Michèle Vergne, Progress in Mathematics, 357, Symmetry in Geometry and Analysis, Volume 1, 2025, 103  crossref
    2. Abdulrahman Alajmi, Sayok Chakravarty, Zachary Kaplan, Jenya Soprunova, “Lattice size in higher dimensions”, Involve, 17:1 (2024), 153  crossref
    3. Jeff Hicks, “Wall-crossing from Lagrangian cobordisms”, Algebr. Geom. Topol., 24:6 (2024), 3069  crossref
    4. Karl-Hermann Neeb, Gestur Ólafsson, “Wedge Domains in Compactly Causal Symmetric Spaces”, International Mathematics Research Notices, 2023:12 (2023), 10209  crossref
    5. Paul-Emile Paradan, “$\textrm{Horn}(p,q)$”, Sel. Math. New Ser., 29:4 (2023)  crossref
    6. Karl-Hermann Neeb, Daniel Oeh, “Elements in Pointed Invariant Cones in Lie Algebras and Corresponding Affine Pairs”, Bull. Iran. Math. Soc., 48:1 (2022), 295  crossref
    7. Anthony Harrison, Jenya Soprunova, Patrick Tierney, “Lattice Size of Plane Convex Bodies”, SIAM J. Discrete Math., 36:1 (2022), 92  crossref
    8. Paul-Emile Paradan, “The Horn cone associated with symplectic eigenvalues”, Comptes Rendus. Mathématique, 360:G10 (2022), 1163  crossref
    9. Mads Bisgaard, “Topology of (small) Lagrangian cobordisms”, Algebr. Geom. Topol., 19:2 (2019), 701  crossref
    10. Luiz A. B. San Martin, Advances in Mathematics and Applications, 2018, 351  crossref
    11. Julien Bureaux, Nathanaël Enriquez, “Asymptotics of convex lattice polygonal lines with a constrained number of vertices”, Isr. J. Math., 222:2 (2017), 515  crossref
    12. Alexander Alldridge, Sebastian Schmittner, “Spherical representations of Lie supergroups”, Journal of Functional Analysis, 268:6 (2015), 1403  crossref
    13. Joshua M Sabloff, Lisa Traynor, “Obstructions to Lagrangian cobordisms between Legendrians via generating families”, Algebr. Geom. Topol., 13:5 (2013), 2733  crossref
    14. Ben Simon G. Hartnick T., “Invariant Orders on Hermitian Lie Groups”, J. Lie Theory, 22:2 (2012), 437–463  isi
    15. Imre Bárány, “On a question of V. I. Arnol'd”, Acta Math Hung, 137:1-2 (2012), 72  crossref
    16. Igor Frenkel, Matvei Libine, “Split quaternionic analysis and separation of the series for SL(2,R) and SL(2,C)/SL(2,R)”, Advances in Mathematics, 228:2 (2011), 678  crossref
    17. Karl-Hermann Neeb, Hadi Salmasian, Lecture Notes in Mathematics, 2027, Supersymmetry in Mathematics and Physics, 2011, 195  crossref
    18. Michael Elkin, “An improved construction of progression-free sets”, Isr. J. Math., 184:1 (2011), 93  crossref
    19. KARL-HERMANN NEEB, “SEMIBOUNDED REPRESENTATIONS AND INVARIANT CONES IN INFINITE DIMENSIONAL LIE ALGEBRAS”, Confluentes Math., 02:01 (2010), 37  crossref
    20. Baptiste Chantraine, “Lagrangian concordance of Legendrian knots”, Algebr. Geom. Topol., 10:1 (2010), 63  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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