V. Kovalchuk

collaborators

5 papers

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.RT2025

Building blocks for $W$ -algebras of classical types

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

The universal $2$ -parameter vertex algebra $W_{\infty}$ of type $W (2, 3, 4, \dots)$ serves as a classifying object for vertex algebras of type $W (2, 3, \dots, N)$ for some $N$ in the sen…

math.RT2025

Minimal W-algebras of $so_{N}$ at level minus one

Thomas Creutzig, Justine Fasquel, Vladimir Kovalchuk +2

For $N \in Z_{\geq 7}$ we show that the simple minimal $W$ -algebra of $so_{N}$ at level minus one is isomorphic to the even subalgebra of the tensor produ…

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

Building blocks for W-algebras of classical types

Minimal W-algebras of soN​ at level minus one

First-order deformations of freely generated vertex algebras

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

Building blocks for $W$ -algebras of classical types

Minimal W-algebras of $so_{N}$ at level minus one

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