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Petrogradsky, Victor Mikhaylovich

Statistics Math-Net.Ru
Total publications: 16
Scientific articles: 16
Presentations: 2

Number of views:
This page:2395
Abstract pages:5275
Full texts:2009
References:689
Associate professor
Doctor of physico-mathematical sciences (2001)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 3.04.1965
E-mail:
Keywords: Lie algebras, growth, generating functions.
UDC: 512.55, 512.554.33
MSC: 17, 16, 20

Subject:

Algebra.

   
Main publications:
  1. Bahturin Yu. A., Mikhalev A. A., Petrogradsky V. M., and Zaicev M. V., Infinite dimensional Lie superalgebras, de Gruyter Exp. Math., 7, de Gruyter, Berlin, 1992  mathscinet  zmath
  2. Petrogradsky V. M., “Intermediate growth in Lie algebras and their enveloping algebras”, J. Algebra, 179:2 (1996), 459–482  crossref  mathscinet  zmath
  3. Petrogradskii V. M., “Growth of polynilpotent varieties of Lie algebras and rapidly growing entire functions”, Sb. Mat., 188:6 (1997), 913–931  mathnet  crossref  mathscinet  zmath
  4. Petrogradsky V. M., “Growth of finitely generated polynilpotent Lie algebras and groups, generalized partitions, and functions analytic in the unit circle”, Internat. J. Algebra Comput., 9:2 (1999), 179–212  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person8522
https://scholar.google.com/citations?user=I8gPuC8AAAAJ&hl=en
https://mathscinet.ams.org/mathscinet/MRAuthorID/266073
https://orcid.org/0000-0002-0182-5149
https://www.webofscience.com/wos/author/record/L-6997-2013
https://www.scopus.com/authid/detail.url?authorId=6603540510
https://www.researchgate.net/profile/Victor_Petrogradsky

Publications in Math-Net.Ru Citations
2015
1. V. M. Petrogradsky, I. A. Subbotin, “Ideal growth in metabelian Lie $p$-algebras”, Sibirsk. Mat. Zh., 56:4 (2015),  896–908  mathnet  mathscinet  elib; Siberian Math. J., 56:4 (2015), 714–724  isi  elib  scopus 1
2014
2. Victor Petrogradsky, I. A. Subbotin, “On invariants of free restricted Lie algebras”, Izv. RAN. Ser. Mat., 78:6 (2014),  141–152  mathnet  mathscinet  zmath  elib; Izv. Math., 78:6 (2014), 1195–1206  isi  elib  scopus
2013
3. V. M. Petrogradsky, I. A. Subbotin, “About generating set of the invariant subalgebra of free restricted Lie algebra”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013),  93–98  mathnet
2009
4. V. M. Petrogradsky, A. A. Smirnov, “On invariants of modular free Lie algebras”, Fundam. Prikl. Mat., 15:1 (2009),  117–124  mathnet  mathscinet  elib; J. Math. Sci., 166:6 (2010), 767–772  scopus 3
2008
5. V. M. Petrogradsky, A. A. Smirnov, “Enumeration of maximal subalgebras in free restricted Lie algebras”, Sibirsk. Mat. Zh., 49:6 (2008),  1381–1390  mathnet  mathscinet; Siberian Math. J., 49:6 (2008), 1101–1108  isi  scopus 1
2005
6. S. G. Klement'ev, V. M. Petrogradsky, “On the growth of almost soluble Lie algebras”, Uspekhi Mat. Nauk, 60:5(365) (2005),  165–166  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:5 (2005), 970–972  isi  elib  scopus 2
2001
7. V. M. Petrogradsky, “Characters and invariants for free Lie superalgebras”, Algebra i Analiz, 13:1 (2001),  158–181  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:1 (2002), 107–122 6
2000
8. V. M. Petrogradsky, “On the Complexity Functions for $T$-Ideals of Associative Algebras”, Mat. Zametki, 68:6 (2000),  887–897  mathnet  mathscinet  zmath  elib; Math. Notes, 68:6 (2000), 751–759  isi 11
9. V. M. Petrogradsky, “On invariants of the action of a finite group on a free lie algebra”, Sibirsk. Mat. Zh., 41:4 (2000),  917–925  mathnet  mathscinet  zmath; Siberian Math. J., 41:4 (2000), 763–770  isi 7
1999
10. V. M. Petrogradsky, “On numerical characteristics of subvarieties for three varieties of Lie algebras”, Mat. Sb., 190:6 (1999),  111–126  mathnet  mathscinet  zmath  elib; Sb. Math., 190:6 (1999), 887–902  isi  scopus 4
1997
11. V. M. Petrogradsky, “Growth of polynilpotent varieties of Lie algebras and rapidly growing entire functions”, Mat. Sb., 188:6 (1997),  119–138  mathnet  mathscinet  zmath  elib; Sb. Math., 188:6 (1997), 913–931  isi  scopus 45
1995
12. V. M. Petrogradsky, “On types of overexponential growth in Lie PI-algebras”, Fundam. Prikl. Mat., 1:4 (1995),  989–1007  mathnet  mathscinet  zmath 17
1993
13. V. M. Petrogradsky, “On some types of intermediate growth in Lie algebras”, Uspekhi Mat. Nauk, 48:5(293) (1993),  181–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:5 (1993), 181–182 10
1991
14. V. M. Petrogradsky, “Existence of identities in the restricted enveloping algebra”, Mat. Zametki, 49:1 (1991),  84–93  mathnet  mathscinet  zmath; Math. Notes, 49:1 (1991), 60–66  isi 4
1990
15. V. M. Petrogradsky, “Structure of the enveloping algebra of a nilpotent Lie $p$-algebra”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 2,  73–76  mathnet  mathscinet  zmath 1
1988
16. V. M. Petrogradsky, “Injective modules over restricted Lie algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 3,  68–70  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Ниль алгебры Ли осциллирующего роста
V. M. Petrogradsky
VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 30, 2020 15:50
2. Ниль супералгебры Ли медленного роста
V. M. Petrogradsky
VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
February 2, 2017 15:50

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