V. Gubarev

activity

20092026

most citedOn embedding of dendriform algebras into Rota---Baxter algebras

67 citations · 246 across the 43 of their papers we have counts for

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Showing 2022Show all

4 papers · 1 filter

math.RA2022

Rota-Baxter operators on $Cur (sl_{2} (C))$

Vsevolod Gubarev, Roman Kozlov

We classify all Rota-Baxter operators on the simple conformal Lie algebra $Cur (sl_{2} (C))$ and clarify which of them arise from the solutions to the confor…

math.QA2022

Conformal Yang-Baxter equation on $Cur (sl_{2} (C))$

Vsevolod Gubarev, Roman Kozlov

In 2008, J. Liberati defined what is a conformal Lie bialgebra and introduced the conformal classical Yang-Baxter equation (CCYBE). An $L$ -invariant solution to the weak version of…

math.RA2022

Free special Gelfand-Dorfman algebra

V. Gubarev, B. K. Sartayev

A Gelfand-Dorfman algebra is called special if it can be embedded into a differential Poisson algebra. We find a new basis of the free Novikov algebra. With its help, we construct…

math.RA2022

Quasi-definite axial algebras of Jordan type half

Ilya Gorshkov, Vsevolod Gubarev

Axial algebras are commutative nonassociative algebras generated by a finite set of primitive idempotents which action on an algebra is semisimple, and the fusion laws on the produ…

Rota-Baxter operators on Cur(sl2​(C))

Conformal Yang-Baxter equation on Cur(sl2​(C))

Free special Gelfand-Dorfman algebra

Quasi-definite axial algebras of Jordan type half

Rota-Baxter operators on $Cur (sl_{2} (C))$

Conformal Yang-Baxter equation on $Cur (sl_{2} (C))$