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Lukatskii, Aleksandr Mikhailovich
Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 22

Number of views:
This page:3410
Abstract pages:6435
Full texts:2716
References:728
Senior Researcher
Doctor of physico-mathematical sciences (2006)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 3.08.1949
E-mail:
   
Main publications:
  1. Lukatskii A.M., Shapot D.V., “Metody resheniya zadach polilineinogo programmirovaniya”, Zhurn. vych. matem. i mat. fiz., 41:5 (2001), 680–691

https://www.mathnet.ru/eng/person19225
List of publications on Google Scholar
List of publications on ZentralBlatt
https://elibrary.ru/author_items.asp?authorid=12150

Publications in Math-Net.Ru Citations
2009
1. A. M. Lukatsky, “Investigation of the Geodesic Flow on an Infinite-Dimensional Lie Group by Means of the Coadjoint Action Operator”, Trudy Mat. Inst. Steklova, 267 (2009),  204–213  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 267 (2009), 195–204  isi  elib  scopus 4
2008
2. A. M. Lukatskii, D. V. Shapot, “A constructive algorithm for folding large-scale systems of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008),  1167–1180  mathnet; Comput. Math. Math. Phys., 48:7 (2008), 1100–1112  isi  scopus 6
2003
3. I. N. Karbovskii, A. M. Lukatskii, A. A. Men'shikova, D. V. Shapot, “Competitive Relations in Imperfect Commodity Markets”, Avtomat. i Telemekh., 2003, no. 7,  94–108  mathnet  zmath; Autom. Remote Control, 64:7 (2003), 1101–1114  isi  scopus 1
2002
4. I. N. Karbovskii, A. M. Lukatskii, G. V. Fedorova, D. V. Shapot, “A Small Model of Market Behavior”, Avtomat. i Telemekh., 2002, no. 4,  147–160  mathnet  mathscinet  zmath; Autom. Remote Control, 63:4 (2002), 654–665  isi  scopus 3
2001
5. A. M. Lukatskii, D. V. Shapot, “Methods for solving multilinear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001),  680–691  mathnet  mathscinet; Comput. Math. Math. Phys., 41:5 (2001), 638–648 7
1999
6. A. M. Lukatskii, “Examples of continuous actions of semisimple Lie groups that are not equivalent to smooth ones”, Mat. Zametki, 65:2 (1999),  317–320  mathnet  mathscinet  zmath; Math. Notes, 65:2 (1999), 262–265  isi 1
1994
7. V. I. Kitaygorodsky, A. M. Lukatskii, “Economic growth under scientific progress and exaustion of resources”, Matem. Mod., 6:7 (1994),  71–82  mathnet  zmath
1990
8. A. M. Lukatskii, “The negativeness of the curvatures of groups of diffeomorphisms for locally Euclidean manifolds”, Uspekhi Mat. Nauk, 45:6(276) (1990),  137–138  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:6 (1990), 160–161  isi
9. V. A. Aleksovskii, A. M. Lukatskii, “Nonlinear dynamics of the magnetization of ferromagnets and motion of a generalized solid with flow group”, TMF, 85:1 (1990),  115–123  mathnet  mathscinet; Theoret. and Math. Phys., 85:1 (1990), 1090–1096  isi 2
1988
10. A. M. Lukatskii, “The structure of the curvature tensor of the group of measure-preserving diffeomorphisms of a two-dimensional compact manifold”, Sibirsk. Mat. Zh., 29:6 (1988),  95–99  mathnet  mathscinet  zmath; Siberian Math. J., 29:6 (1988), 947–951  isi 7
1984
11. A. M. Lukatskii, “The curvature of the group of diffeomorphisms preserving the measure of the $n$-dimensional torus”, Sibirsk. Mat. Zh., 25:6 (1984),  76–88  mathnet  mathscinet  zmath; Siberian Math. J., 25:6 (1984), 893–903  isi 3
1981
12. A. M. Lukatskii, “On the curvature of the group of measure-preserving diffeomorphisms of an $n$-dimensional torus”, Uspekhi Mat. Nauk, 36:2(218) (1981),  187–188  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:2 (1981), 179–180  isi 7
1979
13. A. M. Lukatskii, “Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere”, Funktsional. Anal. i Prilozhen., 13:3 (1979),  23–27  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:3 (1979), 174–177 10
14. A. M. Lukatskii, “A system of generators in the group of diffeomorphisms of the $n$-dimensional torus”, Mat. Zametki, 26:1 (1979),  27–34  mathnet  mathscinet  zmath; Math. Notes, 26:1 (1979), 504–508  isi 1
1978
15. A. M. Lukatskii, “Finite generation of groups of diffeomorphisms”, Uspekhi Mat. Nauk, 33:1(199) (1978),  219–220  mathnet  mathscinet  zmath; Russian Math. Surveys, 33:1 (1978), 207–208 5
1977
16. A. M. Lukatskii, “The structure of Lie algebras of spherical vector fields and the diffeomorphism groups of $S^n$ and $RP^n$”, Sibirsk. Mat. Zh., 18:1 (1977),  161–173  mathnet  mathscinet  zmath; Siberian Math. J., 18:1 (1977), 119–127  isi 1
1975
17. A. M. Lukatskii, “On systems of generators in groups of diffeomorphisms of compact manifolds”, Dokl. Akad. Nauk SSSR, 220:2 (1975),  285–288  mathnet  mathscinet  zmath 1
18. A. M. Lukatskii, “On homogeneous vector bundles and groups of diffeomorphism of compact homogeneous spaces”, Izv. Akad. Nauk SSSR Ser. Mat., 39:6 (1975),  1274–1283  mathnet  mathscinet  zmath; Math. USSR-Izv., 9:6 (1975), 1203–1212 1
1974
19. A. M. Lukatskii, “Algebras of vector fields and groups of diffeomorphisms of compact manifolds”, Funktsional. Anal. i Prilozhen., 8:2 (1974),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:2 (1974), 175–176 2
20. A. M. Lukatskii, “On the system of rational functions of M. M. Dzhrbashyan for an arbitrary continuum”, Sibirsk. Mat. Zh., 15:1 (1974),  205–211  mathnet  mathscinet  zmath; Siberian Math. J., 15:1 (1974), 147–152
1973
21. A. M. Lukatskii, “Series expansion in a system of rational functions”, Mat. Sb. (N.S.), 90(132):4 (1973),  544–557  mathnet  mathscinet  zmath; Math. USSR-Sb., 19:4 (1973), 531–545
1971
22. A. M. Lukatskii, “Theorem concerning analytic continuation”, Mat. Zametki, 10:1 (1971),  57–62  mathnet  mathscinet  zmath; Math. Notes, 10:1 (1971), 459–462
2020
23. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, L. S. Kazarin, D. A. Leites, A. M. Lukatskii, A. N. Shchetinin, “Arkadii L'vovich Onishchik (obituary)”, Uspekhi Mat. Nauk, 75:4(454) (2020),  195–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:4 (2020), 765–777  isi

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