A. Panasenko

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20232026

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math.RA2025

Rota-Baxter operators on the simple Jordan algebra of matrices of order two

Vsevolod Gubarev, Alexander Panasenko

We describe all Rota-Baxter operators of any weight on the space of matrices from $M_{2} (F)$ considered under the product $a \circ b = (ab + ba) /2$ and usually denoted as $M_2(F)^{(+)…

math.RA2023

Generalized sharped cubic form and split spin factor algebra

Vsevolod Gubarev, Farukh Mashurov, Alexander Panasenko

There is a well-known construction of a Jordan algebra via a sharped cubic form. We introduce a generalized sharped cubic form and prove that the split spin factor algebra is induc…