H. Alhussein

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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math.RA2024★ 1 cited

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 $U (3)$ of the Virasoro Lie conformal algebra with respect to associative loc…

math.RA2024

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…

math.RA2018

The Hochschild cohomology of the group $G_{3}^{2}$

Hassan AlHussein, Pavel Kolesnikov

We apply discrete algebraic Morse theory to calculate the Anick resolution of the group algebra of the group $G_{3}^{2}$ . As a corollary, we evaluate Hochschild cohomologies of $G_{3}^{2}$ …

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

On the pre-commutative envelopes of commutative algebras

The Hochschild cohomology of the group G32​

The Hochschild cohomology of the group $G_{3}^{2}$