Persons: Lopatin, Artem Anatol'evich

Persons

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

Lopatin, Artem Anatol'evich

Total publications:	27 (27)
in MathSciNet:	24 (24)
in zbMATH:	24 (24)
in Web of Science:	21 (21)
in Scopus:	20 (20)
Cited articles:	22
Citations:	114
Presentations:	4

Number of views:
This page:	1336
Abstract pages:	450
Full texts:	129
References:	71

Doctor of physico-mathematical sciences (2013)

Birth date:

25.05.1980

E-mail:

Website:

https://iitam.omsk.net.ru/~lopatin

Keywords:

Invariants of classical linear groups, generating system, system of parameters, relations between generators, semi-invariants of quivers, nilalgebra, matrix algebra nilpotency degree.

UDC:

512.64, 512.745

MSC:

13A50

Subject:

Representations of Quivers and their Generalizations, Invariant Theory, PI-algebras

Main publications:

A.A. Lopatin, “Invariants of quivers under the action of classical groups”, J. Algebra, 321 (2009), 1079–1106

https://www.mathnet.ru/eng/person29700

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/740650

https://elibrary.ru/author_items.asp?authorid=64363747

https://www.webofscience.com/wos/author/record/H-7602-2013

https://www.scopus.com/authid/detail.url?authorId=16646455300

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2018
1.	Ivan Kaygorodov, Artem Lopatin and Yury Popov, “Jordan algebras admitting derivations with invertible values”, Communications in Algebra, 46:1 (2018), 69–81	1 ^[x]
2.	Artem Lopatin, “Minimal system of generators for O(4)-invariants of two skew-symmetric matrices”, Linear and Multilinear Algebra, 66:2 (2018), 347–356 http://www.tandfonline.com/doi/full/10.1080/03081087.2017.1298563	1 ^[x]
3.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “The structure of simple noncommutative Jordan superalgebras”, Mediterranean Journal of Mathematics, 15:2 (2018), Art. 33 , 20 pp. https://link.springer.com/article/10.1007/s00009-018-1084-1	2 ^[x]
4.	Ivan Kaygorodov, Artem Lopatin, Yury Popov, “Separating invariants for 2x2 matrices”, Linear Algebra and its Applications, 559 (2018), 114–124 https://www.sciencedirect.com/science/article/pii/S0024379518303835	7 ^[x]

2016
5.	Artem Lopatin, Aleksandr Tsarev, Tongsou Wu, “On the lattices of multiply composition formations of finite groups”, Bulletin of the international mathematical virtual institute, 6:2 (2016), 219-226 http://www.imvibl.org/buletin/bulletin_imvi_6_2_2016/bulletin_imvi_6_2_2015_219_226.pdf

2015
6.	A. A. Lopatin, “Orthogonal matrix invariants”, J. Generalized Lie Theory Appl, 9:S1 (2015), 007 , 3 pp. http://www.omicsonline.com/open-access/orthogonal-matrix-invariants-1736-4337-S1-007.php?aid=60212
7.	I.B. Kaygorodov, A.A. Lopatin, Yu.S. Popov, “Conservative algebras of 2-dimensional algebras”, Linear Algebra and its Applications, 486 (2015), 255-274 http://www.sciencedirect.com/science/article/pii/S0024379515004760	9 ^[x]
8.	I.B. Kaygorodov, A.A. Lopatin, Yu.S. Popov, “Identities of sum of two PI-algebras in the case of positive characteristic”, International Journal of Algebra and Computation, 25:8 (2015), 1265-1273 http://www.worldscientific.com/doi/abs/10.1142/S021819671550040X	1 ^[x]

2013
9.	A.A. Lopatin, “Matrix identities with forms”, Journal of Pure and Applied Algebra, 217:11 (2013), 2056–2075	2 ^[x]
10.	A.A. Lopatin, “Tozhdestva matrichnykh invariantov simplekticheskoi gruppy”, Vestnik Omskogo universiteta, 18:2 (2013), 29–31
11.	A.A. Lopatin, I.P. Shestakov, “Associative nil-algebras over finite fields”, International J. of Algebra and Computation, 23:8 (2013), 1881–1894 http://www.worldscientific.com/doi/abs/10.1142/S0218196713500471	2 ^[x]

2012
12.	A.A. Lopatin, “Free relations for matrix invariants in modular case”, J. Pure Appl. Algebra, 216 (2012), 427–437	4 ^[x]
13.	A.A. Lopatin, “Relations between O(n)-invariants of several matrices”, Algebras and Representation Theory, 15 (2012), 855-882	4 ^[x]
14.	A.A. Lopatin, “On the nilpotency degree of the algebra with identity $x^n=0$”, J. Algebra, 371 (2012), 350-366	5 ^[x]

2011
15.	A.A. Lopatin, “Orthogonal invariants of skew-symmetric matrices”, Linear and Multilinear Algebra, 59:8 (2011), 851–862	3 ^[x]
16.	A.A. Lopatin, “Minimal generating set for semi-invariants of quivers of dimension two”, Linear Algebra Appl., 434:8 (2011), 1920–1944	4 ^[x]
17.	A.A. Lopatin, “On minimal generating systems for matrix O(3)-invariants”, Linear Mult. Algebra, 59:1 (2011), 87–99	6 ^[x]

2010
18.	A.A. Lopatin, “Indecomposable invariants of quivers for dimension (2,...,2) and maximal paths”, Commun. Algebra, 38:10 (2010), 3539–3555	2 ^[x]
19.	Artem Lopatin, “Indecomposable invariants of quivers for dimension $(2,\ldots,2)$ and maximal paths, II”, Sib. Èlektron. Mat. Izv. 7, 7 (2010), 350–371 http://semr.math.nsc.ru/v7/p350-371.pdf	2 ^[x]

2009
20.	A.A. Lopatin, “Invariants of quivers under the action of classical groups”, J. Algebra, 321 (2009), 1079–1106	12 ^[x]

2008
21.	A.A. Lopatin, A.N. Zubkov, “Representations of quivers, their generalizations and invariants”, Vestnik Omskogo universiteta, 2008, Spets. vypusk, 9–24

2007
22.	A.A. Lopatin, “On block partial linearizations of the pfaffian”, Linear Algebra Appl., 426/1 (2007), 109–129	5 ^[x]
23.	A.A. Lopatin, A.N. Zubkov, “Semi-invariants of mixed representations of quivers”, Transform. Groups, 12:2 (2007), 341–369	8 ^[x]

2005
24.	A.A. Lopatin, “Relatively free algebras with the identity x^3=0”, Commun. Algebra, 33:10 (2005), 3583–3605	18 ^[x]

2004
25.	A.A. Lopatin, “The algebra of invariants of 3x3 matrices over a field of arbitrary characteristic”, Communications in Algebra, 32:7 (2004), 2863–2883	11 ^[x]
26.	A. A. Lopatin, “The ring of invariants of three $(3\times3)$-matrices over a field of prime characteristic”, Siberian Math. J., 45:3 (2004), 513–521

2002
27.	A.A. Lopatin, “Nekommutativnye invarianty nad polem proizvolnoi kharakteristiki”, Vestnik Omskogo universiteta, 23:1 (2002), 19–21

Presentations in Math-Net.Ru

1.	Identities for matrix invariants of the symplectic group A. A. Lopatin Lie groups and invariant theory April 3, 2013 16:45
2.	Тождества матричных инвариантов симплектической группы A. A. Lopatin Omsk Algebraic Seminar March 14, 2013
3.	On relations for matrix invariants A. Lopatin Lie groups and invariant theory September 5, 2011 15:00
4.	О соотношениях для матричных инвариантов A. A. Lopatin Omsk Algebraic Seminar September 1, 2011 16:00

Organisations

Registration to the website

Logotypes