Аннотация:
В терминах неприводимых представлений симметрических групп получены точные формулы для числа неэквивалентных накрытий над компактной неориентируемой поверхностью.
Библиогр. 9.
Образец цитирования:
А. Д. Медных, Г. Г. Позднякова, “О числе неэквивалентных накрытий над компактной неориентируемой поверхностью”, Сиб. матем. журн., 27:1 (1986), 123–131; Siberian Math. J., 27:1 (1986), 99–106
Yannick Mvondo-She, “From Hurwitz numbers to Feynman diagrams: Counting rooted trees in log gravity”, Nuclear Physics B, 995 (2023), 116350
Yannick Mvondo-She, “Integrable hierarchies, Hurwitz numbers and a branch point field in critical topologically massive gravity”, SciPost Phys., 12:4 (2022)
Grigory Chelnokov, Alexander Mednykh, “On the coverings of Hantzsche-Wendt manifold”, Tohoku Math. J. (2), 74:2 (2022)
С. М. Натанзон, А. Ю. Орлов, “Числа Гурвица, получающиеся из фейнмановских диаграмм”, ТМФ, 204:3 (2020), 396–429; S. M. Natanzon, A. Yu. Orlov, “Hurwitz numbers from Feynman diagrams”, Theoret. and Math. Phys., 204:3 (2020), 1166–1194
Grigory Chelnokov, Alexander Mednykh, “On the coverings of closed orientable Euclidean manifolds G2 and G4”, Communications in Algebra, 48:7 (2020), 2725
Рафаель И. Непомесчи, “Вронскианная формула для неоднородных TQ-уравнений”, ТМФ, 204:3 (2020), 430–435; Rafael I. Nepomechie, “Wronskian-type formula for inhomogeneous TQ equations”, Theoret. and Math. Phys., 204:3 (2020), 1195–1200
Grigory Chelnokov, Alexander Mednykh, “The enumeration of coverings of closed orientable Euclidean manifolds G3 and G5”, Journal of Algebra, 560 (2020), 48
Natalia Amburg, Aleksander Orlov, Dmitry Vasiliev, “On Products of Random Matrices”, Entropy, 22:9 (2020), 972
А. Ю. Орлов, “Числа Гурвица и произведения случайных матриц”, ТМФ, 192:3 (2017), 395–443; A. Yu. Orlov, “Hurwitz numbers and products of random matrices”, Theoret. and Math. Phys., 192:3 (2017), 1282–1323
Sergey M. Natanzon, Aleksandr Yu. Orlov, “BKP and projective Hurwitz numbers”, Lett Math Phys, 107:6 (2017), 1065
G. Chelnokov, M. Deryagina, A. Mednykh, “On the coverings of Euclidean manifolds ℬ1 and ℬ2”, Communications in Algebra, 45:4 (2017), 1558
Emilio Bujalance, Grzegorz Gromadzki, “Double Coverings of Non-orientable Riemann Surfaces Ramified over Discrete Sets”, Comput. Methods Funct. Theory, 14:2-3 (2014), 237
Alexander Mednykh, “Counting conjugacy classes of subgroups in a finitely generated group”, Journal of Algebra, 320:6 (2008), 2209
Jaeun Lee, Jin Ho Kwak, Alexander Mednykh, Applications of Group Theory to Combinatorics, 2008, 71
Jin Kwak, Alexander Mednykh, “Enumeration of branched coverings of closed orientable surfaces whose branch orders coincide with multiplicity”, Studia Scientiarum Mathematicarum Hungarica, 44:2 (2007), 215
A. D. Mednykh, “A new method for counting coverings over manifold with finitely generated fundamental group”, Dokl. Math., 74:1 (2006), 498
М. Н. Шматков, “О числе неэквивалентных циклических накрытий над расслоениями Зейферта”, Матем. тр., 6:1 (2003), 182–201; M. N. Shmatkov, “The Number of Nonequivalent Cyclic Coverings over a Seifert Fiber Space”, Siberian Adv. Math., 14:1 (2004), 66–83
Jin Ho Kwak, Jaeun Lee, Alexander Mednykh, “Enumerating Branched Surface Coverings from Unbranched Ones”, LMS J. Comput. Math., 6 (2003), 89
E. Bujalance, M.D.E. Conder, J.M. Gamboa, G. Gromadzki, M. Izquierdo, “Double coverings of Klein surfaces by a given Riemann surface”, Journal of Pure and Applied Algebra, 169:2-3 (2002), 137
Valery Liskovets, Alexander Mednykh, “Enumeration of subgroups in the fundamental groups of orientable circle bundles over surfaces”, Communications in Algebra, 28:4 (2000), 1717
Цитирование в формате AMSBIB
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