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; Proc. Steklov Inst. Math., 267 (2009), 195–204
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; Comput. Math. Math. Phys., 48:7 (2008), 1100–1112
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; Autom. Remote Control, 64:7 (2003), 1101–1114
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; Autom. Remote Control, 63:4 (2002), 654–665
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; Math. Notes, 65:2 (1999), 262–265
V. I. Kitaygorodsky, A. M. Lukatskii, “Economic growth under scientific progress and exaustion of resources”, Matem. Mod., 6:7 (1994), 71–82
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; Russian Math. Surveys, 45:6 (1990), 160–161
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; Theoret. and Math. Phys., 85:1 (1990), 1090–1096
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; Siberian Math. J., 29:6 (1988), 947–951
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; Siberian Math. J., 25:6 (1984), 893–903
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; Russian Math. Surveys, 36:2 (1981), 179–180
A. M. Lukatskii, “Curvature of groups of diffeomorphisms preserving the measure of the $2$-sphere”, Funktsional. Anal. i Prilozhen., 13:3 (1979), 23–27; Funct. Anal. Appl., 13:3 (1979), 174–177
A. M. Lukatskii, “A system of generators in the group of diffeomorphisms of the $n$-dimensional torus”, Mat. Zametki, 26:1 (1979), 27–34; Math. Notes, 26:1 (1979), 504–508
A. M. Lukatskii, “Finite generation of groups of diffeomorphisms”, Uspekhi Mat. Nauk, 33:1(199) (1978), 219–220; Russian Math. Surveys, 33:1 (1978), 207–208
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; Siberian Math. J., 18:1 (1977), 119–127
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; Math. USSR-Izv., 9:6 (1975), 1203–1212
A. M. Lukatskii, “Algebras of vector fields and groups of diffeomorphisms of compact manifolds”, Funktsional. Anal. i Prilozhen., 8:2 (1974), 87–88; Funct. Anal. Appl., 8:2 (1974), 175–176
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; 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; Math. USSR-Sb., 19:4 (1973), 531–545
1971
22.
A. M. Lukatskii, “Theorem concerning analytic continuation”, Mat. Zametki, 10:1 (1971), 57–62; 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; Russian Math. Surveys, 75:4 (2020), 765–777
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