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math.RA2022★ 1 cited
On universal conformal envelopes for quadratic conformal algebras
Roman Kozlov
We prove that every quadratic Lie conformal algebra constructed on a special Gelfand-Dorfman algebra embeds into the universal enveloping associative conformal algebra with a local…
math.RA2022
Rota-Baxter operators on
Vsevolod Gubarev, Roman Kozlov
We classify all Rota-Baxter operators on the simple conformal Lie algebra and clarify which of them arise from the solutions to the confor…
math.QA2022
Conformal Yang-Baxter equation on
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 -invariant solution to the weak version of…