Zaitsev Mikhail Vladimirovich
Professor
department of algebra
Moscow State University
Russian Federation
Biography
Candidate of Physical and Mathematical Sciences (1981), Doctor of Physical and Mathematical Sciences (1993). The subject of the Ph.D. thesis is "Ideals of identities in Lie algebras". The theme of his doctoral dissertation is "Identities of special algebras and Lie superalgebras". At the Department of Higher Algebra of the Faculty of Mechanics and Mathematics he has been working as a senior research fellow since 1991, since 1993 - as an assistant professor, and since 1998 - as a professor. He is the co-leader of the special seminar "Selected Problems of Algebra". Member of the editorial board of the journal "Fundamental and Applied Mathematics". I prepared 4 candidates and one doctor of physical and mathematical sciences. Publications: more than 150 scientific works, incl. the monograph " Infinite-Dimensional Lie Superalgebras " (with Yu.A.Bakhturin, AAMikhalev, VMPetrogradsky, 1992)
Research Interest
algebras and Lie superalgebras, associative algebras with identities, graded algebras.
Publications
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It is proved that there are nontrivial identities for a graded Lie algebra whose neutral component has the identity (jointly with Yu.A.Bakhturin).
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For each affine Kac-Moody algebra, a finite-dimensional Lie algebra with the same identity relations is constructed.
