Ivan Shestakov

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Recently J.A.Anquela, T.Cortés, and H.Petersson [2] proved that for elements x, y in a non-degenerate Jordan algebra J , the relation x ◦ y = 0 implies that the U -operators of x and y commute: UxUy = UyUx. We show that the result may be not true without the assumption on nondegeneracity of J . We give also a more simple proof of the mentioned result in the(More)
We obtain classification of the irreducible bimodules over the Jordan superalgebraKan(n), the Kantor double of the Grassmann Poisson superalgebra Gn on n odd generators, for all n ≥ 2 and an algebraically closed field of characteristic 6= 2. This generalizes the corresponding result of C.Mart́ınez and E.Zelmanov announced in [MZ2] for n > 4 and a field of(More)
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