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math.RA2013
Associative nil-algebras over finite fields
Artem A. Lopatin, Ivan P. Shestakov
The nilpotency degree of a relatively free finitely generated associative algebra with the identity is studied over finite fields.
math.RA2013★ 2 cited
Identities for matrix invariants of the symplectic group
Artem A. Lopatin
The general linear group acts on the space of several linear maps on the vector space as the basis change. Similarly, we have the actions of the orthogonal and symplectic groups. G…