V. Kovalchuk

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math.QA2025

New universal vertex algebras as glueings of the basic ones

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

There are three universal $2$ -parameter vertex algebras $W_{\infty}$ , $W_{\infty}^{ev}$ , and $W_{\infty}^{sp}$ which are freely gene…

math.QA2025

First-order deformations of freely generated vertex algebras

Vladimir Kovalchuk, Fei Qi

We solve the problem of how to classify the first-order vertex-algebraic deformations for any grading-restricted vertex algebra $V$ that is freely generated by homogeneous elements…

math.QA2025

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$ -algebras and $W_{\infty}$ -algebras

Justine Fasquel, Vladimir Kovalchuk, Shigenori Nakatsuka

In this article, the Virasoro-type reduction and the corresponding inverse reductions are established for W-algebras associated with classical Lie type and nilpotent orbits of heig…

New universal vertex algebras as glueings of the basic ones

First-order deformations of freely generated vertex algebras

On Virasoro-type reductions and inverse Hamiltonian reductions for W-algebras and W∞​-algebras

On Virasoro-type reductions and inverse Hamiltonian reductions for $W$ -algebras and $W_{\infty}$ -algebras