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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…
On the pre-commutative envelopes of commutative algebras
H. Alhussein, P. Kolesnikov
We prove that every nilpotent commutative algebra can be embedded into a pre-commutative (Zinbiel) algebra with respect to the anti-commutator operation. For finite-dimensional alg…
Hochschild cohomology of the Weyl conformal algebra with coefficients in finite modules
H. Alhussein, P. Kolesnikov
In this work we find Hochschild cohomology groups of the Weyl associative conformal algebra with coefficients in all finite modules. The Weyl conformal algebra is the universal ass…
The Hochschild cohomology of the group
Hassan AlHussein, Pavel Kolesnikov
We apply discrete algebraic Morse theory to calculate the Anick resolution of the group algebra of the group . As a corollary, we evaluate Hochschild cohomologies of …