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math.RA2019★ 18 cited
Pre-Calabi-Yau algebras and double Poisson brackets
Natalia Iyudu, Maxim Kontsevich, Yannis Vlassopoulos
We give an explicit formula showing how the double Poisson algebra introduced in \cite{VdB} appears as a particular part of a pre-Calabi-Yau structure, i.e. cyclically invariant, w…
math.RA2019
Enveloping algebras with just infinite Gelfand-Kirillov dimension
Natalia K. Iyudu, Susan J. Sierra
Let $\mf g$ be the Witt algebra or the positive Witt algebra. It is well known that the enveloping algebra $U(\mf g )$ has intermediate growth and thus infinite Gelfand-Kirillov (G…