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The purity phenomenon for symmetric separated set-systems

  • Vladimir I. Danilov [1] ; Alexander V. Karzanov [1] ; Gleb A. Koshevoy [2]
    1. [1] Central Institute of Economics and Mathematics of the RAS, Moscow, Russia
    2. [2] The Institute for Information Transmission Problems of the RAS, Moscow, Russia
  • Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 31, Nº. 2, 2025
  • Idioma: inglés
  • DOI: 10.1007/s00029-025-01025-w
  • Enlaces
  • Referencias bibliográficas
    • Danilov, V.I., Karzanov, A.V.: On universal quadratic identities for minors of quantum matrices. J. Algebra 488, 145–200 (2017)
    • Danilov, V.I., Karzanov, A.V., Koshevoy, G.A.: On maximal weakly separated set-systems. J. Algebraic Comb. 32, 497–531 (2010)
    • Danilov, V.I., Karzanov, A.V., Koshevoy, G.A.: Combined tilings and the purity phenomenon on separated set-systems. Sel. Math. New Ser. 23,...
    • Danilov, V.I., Karzanov, A.V., Koshevoy, G.A.: On interrelations between strongly, weakly and chord separated set-systems. J. Algebraic Combin....
    • Danilov, V.I., Karzanov, A.V., Koshevoy, G.A.: Higher Bruhat orders of types B and C. J. Algebraic Combin. 60, 241–264 (2024). https://doi.org/10.1007/s10801-024-01334-x
    • Galashin, P.: Plabic graphs and zonotopal tilings. Proc. Lond. Math. Soc. 117(4), 661–681 (2018)
    • Galashin, P., Postnikov, A.: Purity and separation for oriented matroids. Memoirs of Amer. Math. Soc. 289 No.1439 (2023)
    • Kapranov, M.M., Voevodsky, V.A.: Combinatorial-geometric aspects of polycategory theory: pasting schemes and higher Bruhat orders. Cahiers...
    • Karpman, R.: The purity conjecture in type C. Algebraic Comb. 3 (6), 1401-1416 (2020)
    • Leclerc, B., Zelevinsky, A.: Quasicommuting families of quantum Plücker coordinates. Am. Math. Soc. Trans., Ser. 2 181, 85–108 (1998)
    • Oh, S., Postnikov, A., Speyer, D.E.: Weak separation and plabic graphs. Proc. London Math. Soc. 110(3), 721–754 (2015)
    • 12. Oh, S., Speyer, D.E.: Links in the complex of weakly separated collections. J. Combin. 8(4), 581–592 (2017)

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