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Kuznetsov, Michael Ivanovich
Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25
Presentations: 1

Number of views:
This page:2024
Abstract pages:7951
Full texts:2860
References:1061
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,
   
Main publications:
  • The Melikyan algebras as Lie algebras of the type $G_2$ // Commun. Algebra, 1991, 19(4), 1281–1312.
  • Classification of simple 1-graded Lie algebras of characteristic $p$ // Contemp. Math., 1995, 184, 255–265.

https://www.mathnet.ru/eng/person8543
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/204454
https://orcid.org/0000-0001-9231301X,

Publications in Math-Net.Ru Citations
2025
1. A. V. Kondrat'eva, M. I. Kuznetsov, “Fundamental representations of orthogonal Lie algebra and new simple subalgebras of nonalternating Hamiltonian Lie algebras”, Zhurnal SVMO, 27:1 (2025),  25–33  mathnet
2024
2. A. V. Kondrateva, M. I. Kuznetsov, “Filtered deformations of graded non-alternating Hamiltonian Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 9,  100–105  mathnet 2
3. A. V. Kondrat'eva, M. I. Kuznetsov, “On an embedding theorem for filtered deformations of graded nonalternating Hamiltonian Lie algebras”, Zhurnal SVMO, 26:4 (2024),  392–403  mathnet
2023
4. A. V. Kondratieva, M. I. Kuznetsov, “Non-alternating Hamiltonian forms over a divided power algebra in characteristic $2$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 6,  95–100  mathnet 3
2019
5. M. I. Kuznetsov, N. G. Chebochko, “Lie algebra deformations of type $\bar{A_5}$ in characteristic $2$”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 1,  49–55  mathnet
2017
6. M. I. Kuznetsov, A. V. Kondrateva, N. G. Chebochko, “Simple $14$-dimensional Lie algebras in characteristic two”, Zap. Nauchn. Sem. POMI, 460 (2017),  158–167  mathnet; J. Math. Sci. (N. Y.), 240:4 (2019), 474–480 2
2012
7. M. I. Kuznetsov, O. A. Mulyar, “Maximal tori of the Frank algebra”, Fundam. Prikl. Mat., 17:1 (2012),  143–154  mathnet; J. Math. Sci., 185:3 (2012), 440–447  scopus
8. M. I. Kuznetsov, A. A. Ladilova, “Filtered Deformations of Lie Algebras of the Series $\mathscr{R}$”, Mat. Zametki, 91:3 (2012),  400–406  mathnet  mathscinet  elib; Math. Notes, 91:3 (2012), 378–383  isi  elib  scopus 2
2008
9. M. I. Kuznetsov, “Graded Lie algebras with null component contained in a sum of commuting algebras”, Fundam. Prikl. Mat., 14:7 (2008),  145–150  mathnet  mathscinet  elib; J. Math. Sci., 164:2 (2010), 250–254  scopus 1
2000
10. S. A. Kirillov, M. I. Kuznetsov, N. G. Chebochko, “Deformations of a Lie algebra of type $G_2$ of characteristic three”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 3,  33–38  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 44:3 (2000), 31–36 13
11. M. I. Kuznetsov, N. G. Chebochko, “Deformations of classical Lie algebras”, Mat. Sb., 191:8 (2000),  69–88  mathnet  mathscinet  zmath; Sb. Math., 191:8 (2000), 1171–1190  isi  scopus 20
1999
12. M. I. Kuznetsov, “Graded Lie algebras with the almost simple component $L_0$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 69 (1999),  107–148  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 106:4 (2001), 3187–3211 2
1997
13. M. I. Kuznetsov, “Maximal tori of a general Lie algebra of Cartan type”, Mat. Sb., 188:9 (1997),  55–82  mathnet  mathscinet  zmath; Sb. Math., 188:9 (1997), 1317–1342  isi  scopus 3
1995
14. A. I. Kostrikin, M. I. Kuznetsov, “On deformations of classical Lie algebras of characteristic three”, Dokl. Akad. Nauk, 343:3 (1995),  299–301  mathnet  mathscinet  zmath 8
15. A. I. Kostrikin, M. I. Kuznetsov, “Two remarks on Lie algebras with a nonsingular derivation”, Trudy Mat. Inst. Steklov., 208 (1995),  186–192  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 208 (1995), 166–171
1994
16. A. I. Kostrikin, M. I. Kuznetsov, “On the structure of modular Lie algebras associated with analytic pro-$p$-groups”, Dokl. Akad. Nauk, 339:5 (1994),  591–593  mathnet  mathscinet  zmath; Dokl. Math., 50:3 (1995), 487–490 1
1992
17. M. I. Kuznetsov, “Differential operators in the classification of simple modular Lie algebras”, Uspekhi Mat. Nauk, 47:4(286) (1992),  195–196  mathnet  mathscinet  zmath; Russian Math. Surveys, 47:4 (1992), 212–213  isi
1991
18. M. I. Kuznetsov, “An embedding theorem for transitive filtered Lie algebras of characteristic $p$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 10,  43–45  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 35:10 (1991), 39–41 2
1989
19. M. I. Kuznetsov, “Truncated induced modules over transitive Lie algebras of characteristic $p$”, Izv. Akad. Nauk SSSR Ser. Mat., 53:3 (1989),  557–589  mathnet  mathscinet  zmath; Math. USSR-Izv., 34:3 (1990), 575–608 10
20. M. I. Kuznetsov, “Classification of simple graded Lie algebras with nonsemisimple component $L_0$”, Mat. Sb., 180:2 (1989),  147–158  mathnet  mathscinet  zmath; Math. USSR-Sb., 66:1 (1990), 145–158  isi 13
1988
21. M. I. Kuznetsov, “Distributions over an algebra of truncated polynomial”, Mat. Sb. (N.S.), 136(178):2(6) (1988),  187–205  mathnet  mathscinet  zmath; Math. USSR-Sb., 64:1 (1989), 187–205 5
1986
22. M. I. Kuznetsov, S. A. Kirillov, “Hamiltonian differential forms over the divided powers algebra”, Uspekhi Mat. Nauk, 41:2(248) (1986),  197–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:2 (1986), 205–206  isi 4
1981
23. M. I. Kuznetsov, “Graded Lie algebras with zero component equal to a sum of commuting ideals”, Mat. Sb. (N.S.), 116(158):4(12) (1981),  568–574  mathnet  mathscinet  zmath; Math. USSR-Sb., 44:4 (1983), 511–516 5
1976
24. M. I. Kuznetsov, “Lie algebras with a subalgebra of codimension $p$”, Izv. Akad. Nauk SSSR Ser. Mat., 40:6 (1976),  1224–1247  mathnet  mathscinet  zmath; Math. USSR-Izv., 10:6 (1976), 1165–1186 4
25. M. I. Kuznetsov, “Simple modular Lie algebras with a solvable maximal subalgebra”, Mat. Sb. (N.S.), 101(143):1(9) (1976),  77–86  mathnet  mathscinet  zmath; Math. USSR-Sb., 30:1 (1976), 68–76  isi 31

Presentations in Math-Net.Ru
1. Проблемы классификации простых алгебр Ли малой характеристики. Градуированные алгебры Ли и их деформации.
M. I. Kuznetsov
Research Seminar of the Department of Higher Algebra MSU
February 18, 2019 15:10

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