Relatively Free Algebras with the Identity x^3=0 AA Lopatin Communications in Algebra® 33 (10), 3583-3605, 2005 | 36 | 2005 |
Invariants of quivers under the action of classical groups AA Lopatin Journal of Algebra 321 (4), 1079-1106, 2009 | 32 | 2009 |
The algebra of invariants of 3× 3 matrices over a field of arbitrary characteristic AA Lopatin Communications in Algebra 32 (7), 2863-2883, 2004 | 26 | 2004 |
On the nilpotency degree of the algebra with identity x^n=0 AA Lopatin Journal of Algebra 371, 350-366, 2012 | 21 | 2012 |
Conservative algebras of 2-dimensional algebras I Kaygorodov, A Lopatin, Y Popov Linear Algebra and its Applications 486, 255-274, 2015 | 19 | 2015 |
Relations Between O(n)-Invariants of Several Matrices AA Lopatin Algebras and representation theory 15, 855-882, 2012 | 18* | 2012 |
Separating invariants over finite fields G Kemper, A Lopatin, F Reimers Journal of Pure and Applied Algebra 226, 106904, 2022 | 17 | 2022 |
Separating invariants for 2× 2 matrices I Kaygorodov, A Lopatin, Y Popov Linear Algebra and its Applications 559, 114-124, 2018 | 17 | 2018 |
Semi-invariants of mixed representations of quivers AA Lopatin, AN Zubkov Transformation Groups 12, 341-369, 2007 | 15 | 2007 |
On minimal generating systems for matrix O (3)-invariants AA Lopatin Linear and Multilinear Algebra 59 (1), 87-99, 2011 | 14* | 2011 |
Free relations for matrix invariants in the modular case AA Lopatin Journal of Pure and Applied Algebra 216 (2), 427-437, 2012 | 13 | 2012 |
Orthogonal invariants of skew-symmetric matrices AA Lopatin Linear and Multilinear Algebra 59 (8), 851-862, 2011 | 12 | 2011 |
Separating invariants of three nilpotent 3× 3 matrices FB Cavalcante, A Lopatin Linear Algebra and its Applications 607, 9-28, 2020 | 11 | 2020 |
Separating invariants for multisymmetric polynomials A Lopatin, F Reimers Proceedings of the American Mathematical Society 149 (2), 497-508, 2021 | 10 | 2021 |
On block partial linearizations of the pfaffian AA Lopatin Linear algebra and its applications 426 (1), 109-129, 2007 | 10 | 2007 |
Jordan algebras admitting derivations with invertible values I Kaygorodov, A Lopatin, Y Popov Communications in Algebra 46 (1), 69-81, 2018 | 7 | 2018 |
Associative nil-algebras over finite fields AA Lopatin, IP Shestakov International Journal of Algebra and Computation 23 (08), 1881-1894, 2013 | 7 | 2013 |
Indecomposable orthogonal invariants of several matrices over a field of positive characteristic A Lopatin International Journal of Algebra and Computation 31 (1), 161-171, 2021 | 6 | 2021 |
Minimal system of generators for O(4)-invariants of two skew-symmetric matrices A Lopatin Linear and Multilinear Algebra 66 (2), 347-356, 2018 | 6 | 2018 |
Minimal generating set for semi-invariants of quivers of dimension two AA Lopatin Linear algebra and its applications 434 (8), 1920-1944, 2011 | 6 | 2011 |