http://orcid.org/0000-0003-2495-6050
References
- Sibirskii KS. Algebraic invariants of a system of matrices. Sibirsk Mat Zh. 1968;9(1):152–164. Russian.
- Procesi C. The invariant theory of n×n matrices. Adv Math. 1976;19:306–381.
- Donkin S. Invariants of several matrices. Invent Math. 1992;110:389–401.
- Zubkov AN. Invariants of an adjoint action of classical groups. Algebra Logic. 1999;38(5):299–318.
- Zubkov AN. Invariants of mixed representations of quivers I. J Algebra Appl. 2005;4(3):245–285.
- Lopatin AA. Invariants of quivers under the action of classical groups. J Algebra. 2009;321:1079–1106.
- Razmyslov YuP. Trace identities of full matrix algebras over a field of characteristic 0. Izv Akad Nauk SSSR Ser Mat. 1974;38(4):723–756. Russian.
- Zubkov AN. On a generalization of the Razmyslov--Procesi theorem. Algebra Logic. 1996;35(4):241–254.
- Lopatin AA. Relations between O(n)-invariants of several matrices. Algebras Representation Theory. 2012;15:855–882.
- Lopatin AA. Free relations for matrix invariants in the modular case. J Pure Appl Algebra. 2012;216:427–437.
- Procesi C. Computing with 2×2 matrices. J Algebra. 1984;87:342–359.
- Domokos M, Kuzmin SG, Zubkov AN. Rings of matrix invariants in positive characteristic. J Pure Appl Algebra. 2002;176:61–80.
- Lopatin AA. The algebra of invariants of 3×3 matrices over a field of arbitrary characteristic. Commun Algebra. 2004;32(7):2863–2883.
- Lopatin AA. Relatively free algebras with the identity x3=0. Commun Algebra. 2005;33(10):3583–3605.
- Lopatin AA. Orthogonal invariants of skew-symmetric matrices. Linear Multilinear Algebra. 2011;59:851–862.
- Drensky V, Sadikova L. Generators of invariants of two 4×4 matrices. C R Acad Bulgare Sci. 2006;59(5):477–484.
- Teranishi Y. The ring of invariants of matrices. Nagoya Math J. 1986;104:149–161.
- {\Dsstroke}oković DŽ, MacDonald ML. Orthogonal invariants of a matrix of order four and applications. J Pure Appl Algebra. 2005;202:259–283.
- {\Dsstroke}oković DŽ. On orthogonal and special orthogonal invariants of a single matrix of small order. Linear Multilinear Algebra. 2009;57(4):345–354.
- Lopatin AA. Indecomposable orthogonal invariants of several matrices over a field of positive characteristic. arXiv:1511.01075.
- Lopatin AA. On minimal generating systems for matrix O(3)-invariants. Linear Multilinear Algebra. 2011;59:87–99.
- Amitsur SA. On the characteristic polynomial of a sum of matrices. Linear Multilinear Algebra. 1980;8:177–182.
- Lopatin AA. On the nilpotency degree of the algebra with identity xn=0. J Algebra. 2012;371:350–366.