most citedHochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules

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Hochschild cohomology of the universal associative conformal envelope of the Virasoro Lie conformal algebra with coefficients in all finite modules

Hassan Alhussein, Pavel Kolesnikov, Viktor Lopatkin

In this paper, we find the Hochschild cohomology groups of the universal associative conformal envelope of the Virasoro Lie conformal algebra with respect to associative loc…

math.RA2024

On finite-dimensional homogeneous Lie algebras of derivations of polynomial rings

Ivan Arzhantsev, Sergey Gaifullin, Viktor Lopatkin

For a finite set of homogeneous locally nilpotent derivations of the algebra of polynomials in several variables, a finite dimensionality criterion for the Lie algebra generated by…