I. Shestakov

activity

20082013

most citedAutomorphic equivalence of the representations of Lie algebras

8 citations · 8 across the 2 of their papers we have counts for

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3 papers · 1 filter

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 $x^{n} = 0$ is studied over finite fields.

math.RA2012★ 8 cited

Automorphic equivalence of the representations of Lie algebras

I. Shestakov, A. Tsurkov

We prove that if a field k is infinite, char(k)=0 and k has not nontrivial automorphisms then automorphic equivalence of representations of Lie algebras coincide with geometric equ…

math.RA2008

Commutative Moufang loops and alternative algebras

Alexander N. Grishkov, Ivan P. Shestakov

We compute the orders of free commutative Moufand loops of exponent 3 with $n \leq 7$ free generators and find embeddings of such loops into a loop of invertible elements of the fre…