12 citations · 25 across the 17 of their papers we have counts for
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Invariants of and in positive characteristic
A. N. Zubkov, I. P. Shestakov
Invariants of and , both acting on several copies of octonions, have been decribed in \cite{schw2} over a ground field of characteristic zero. In the current manuscr…
Basic superranks for varieties of algebras
Alexey Kuz'min, Ivan Shestakov
We introduce the notion of basic superrank for varieties of algebras which generalizes that of basic rank. First we consider a number of varieties of nearly associative algebras ov…
Co-Moufang deformations of the universal enveloping algebra of the algebra of traceless octonions
José M. Pérez-Izquierdo, I. P. Shestakov
By means of graphical calculus we prove that, over fields of characteristic zero, any bialgebra deformation of the universal enveloping algebra of the algebra of traceless octonion…
Irreductible Representations of the Simple Jordan Superalgebra of Grassmann Poisson bracket
Olmer Folleco Solarte, Ivan Shestakov
We obtain classification of the irreducible bimodules over the Jordan superalgebra , the Kantor double of the Grassmann Poisson superalgebra on odd generators, fo…
On commuting -operators in Jordan algebras
Ivan Shestakov
Recently J.A.Anquela, T.Cortés, and H.Petersson proved that for elements in a non-degenerate Jordan algebra , the relation implies that the -operators…