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Izv. Vyssh. Uchebn. Zaved. Mat., 1963, Number 1, Pages 114–123 (Mi ivm2141)  

This article is cited in 23 scientific papers (total in 23 papers)

On solvable Lie algebras

G. M. Mubarakzyanov

Kazan State University named after V. I. Ul'yanov-Lenin

Full text: PDF file (682 kB)

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Received: 15.05.1961

Citation: G. M. Mubarakzyanov, “On solvable Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 1963, no. 1, 114–123

Citation in format AMSBIB
\Bibitem{Mub63}
\by G.~M.~Mubarakzyanov
\paper On solvable Lie algebras
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 1963
\issue 1
\pages 114--123
\mathnet{http://mi.mathnet.ru/ivm2141}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=153714}
\zmath{https://zbmath.org/?q=an:0166.04104}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Gorbatsevich, “Lattices in solvable Lie groups and deformations of homogeneous spaces”, Math. USSR-Sb., 20:2 (1973), 249–266  mathnet  crossref  mathscinet  zmath
    2. R. Campoamor-Stursberg, “Solvable Lie algebras, products by generators, and some of its applications”, J. Math. Sci., 144:5 (2007), 4423–4430  mathnet  crossref  mathscinet  zmath  elib
    3. Renat Zhdanov, Victor Lahno, “Group Classification of the General Evolution Equation: Local and Quasilocal Symmetries”, SIGMA, 1 (2005), 009, 7 pp.  mathnet  crossref  mathscinet  zmath
    4. P. G. L. Leach, A. Karasu (Kalkanli), M. C. Nucci, K. Andriopoulos, “Ermakov's Superintegrable Toy and Nonlocal Symmetries”, SIGMA, 1 (2005), 018, 15 pp.  mathnet  crossref  mathscinet  zmath
    5. Sibusiso Moyo, P. G. L. Leach, “Symmetry Properties of Autonomous Integrating Factors”, SIGMA, 1 (2005), 024, 12 pp.  mathnet  crossref  mathscinet  zmath
    6. E. S. Kornev, “Levoinvariantnye pochti kompleksnye struktury i assotsiirovannye metriki na chetyrekhmernykh pryamykh proizvedeniyakh grupp Li”, Sib. elektron. matem. izv., 4 (2007), 304–344  mathnet  mathscinet  zmath
    7. E. S. Kornev, “Levoinvariantnye pochti kompleksnye struktury i assotsiirovannye metriki na gruppakh Li razmernosti 4”, Vestn. NGU. Ser. matem., mekh., inform., 7:1 (2007), 33–54  mathnet
    8. A. G. Kremlyov, Yu. G. Nikonorov, “The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The unimodular case”, Siberian Adv. Math., 19:4 (2009), 245–267  mathnet  crossref  mathscinet  elib
    9. A. G. Kremlyov, Yu. G. Nikonorov, “The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The nonunimodular case”, Siberian Adv. Math., 20:1 (2010), 1–57  mathnet  crossref  mathscinet  elib
    10. M. S. Chebarykov, “On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension”, Siberian Adv. Math., 21:2 (2011), 81–99  mathnet  crossref  mathscinet  elib
    11. R. K. Gazizov, V. O. Lukashchuk, “Classification of approximate Lie algebras with three essential vectors”, Russian Math. (Iz. VUZ), 54:10 (2010), 1–14  mathnet  crossref  mathscinet
    12. O. P. Gladunova, V. V. Slavskii, “Harmonicity of the Weyl tensor of left-invariant Riemannian metrics on four-dimensional unimodular Lie groups”, Siberian Adv. Math., 23:1 (2013), 32–46  mathnet  crossref  mathscinet  elib
    13. O. P. Gladunova, E. D. Rodionov, V. V. Slavskii, “O konformno poluploskikh 4-mernykh gruppakh Li”, Vladikavk. matem. zhurn., 13:3 (2011), 3–16  mathnet
    14. Korotkevich A.A., “Polnye kommutativnye nabory polinomov na shestimernykh razreshimykh i semimernykh nilpotentnykh algebrakh li”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2011, no. 5, 21–26  mathscinet  zmath  elib
    15. Gladunova O.P., Rodionov E.D., Slavskii V.V., “O konformno-poluploskikh 4-mernykh algebrakh li”, Doklady Akademii nauk, 442:3 (2012), 303–303  mathscinet  zmath  elib
    16. D. S. Voronov, O. P. Gladunova, E. D. Rodionov, V. V. Slavskii, “Ob invariantnykh tenzornykh polyakh na gruppakh Li malykh razmernostei”, Vladikavk. matem. zhurn., 14:2 (2012), 3–30  mathnet
    17. A. N. Abyzov, Yu. A. Alpin, N. A. Koreshkov, M. F. Nasrutdinov, S. N. Tronin, “Algebraicheskie issledovaniya v Kazanskom universitete ot V. V. Morozova do nashikh dnei”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 154, no. 2, Izd-vo Kazanskogo un-ta, Kazan, 2012, 44–59  mathnet
    18. M. V. Antipova, A. M. Shelekhov, “Eight-dimensional Bol webs with an almost zero curvature tensor”, Russian Math. (Iz. VUZ), 57:2 (2013), 1–12  mathnet  crossref
    19. Andrzej Borowiec, Anna Pachoł, “$\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes”, SIGMA, 10 (2014), 107, 24 pp.  mathnet  crossref
    20. V. V. Davydovych, “Preliminary group classification of $(2+1)$-dimensional linear ultraparabolic Kolmogorov–Fokker–Planck equations”, Ufa Math. J., 7:3 (2015), 38–46  mathnet  crossref  isi  elib
    21. Nesterenko M., Posta S., Vaneeva O., “Realizations of Galilei Algebras”, J. Phys. A-Math. Theor., 49:11 (2016), 115203  crossref  mathscinet  zmath  isi  elib  scopus
    22. R. S. Akopyan, A. V. Loboda, “O golomorfnykh realizatsiyakh pyatimernykh algebr Li”, Algebra i analiz, 31:6 (2019), 1–37  mathnet
    23. A. V. Atanov, A. V. Loboda, “Razlozhimye pyatimernye algebry Li v zadache o golomorfnoi odnorodnosti v $\mathbb{C}^3$”, Materialy Voronezhskoi zimnei matematicheskoi shkoly Sovremennye metody teorii funktsii i smezhnye problemy. 28 yanvarya2 fevralya 2019 g. Chast 4, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 173, VINITI RAN, M., 2019, 86–115  mathnet  crossref
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