activity
20202025
most citedGeneralized parafermions of orthogonal type

8 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

math.QA2025

New universal vertex algebras as glueings of the basic ones

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

There are three universal -parameter vertex algebras , , and which are freely gene…

math.RT2025

Minimal W-algebras of at level minus one

Thomas Creutzig, Justine Fasquel, Vladimir Kovalchuk +2

For we show that the simple minimal -algebra of at level minus one is isomorphic to the even subalgebra of the tensor produ…

math.QA2024

On Virasoro-type reductions and inverse Hamiltonian reductions for -algebras and -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…

math.RT2024

Building blocks for -algebras of classical types

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

The universal -parameter vertex algebra of type serves as a classifying object for vertex algebras of type for some in the sen…

math.QA2024

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 that is freely generated by homogeneous elements…

math.QA2020★ 8 cited

Generalized parafermions of orthogonal type

Thomas Creutzig, Vladimir Kovalchuk, Andrew R. Linshaw

There is an embedding of affine vertex algebras , and the coset $\mathcal{C}^k(n) = \text{Com}(V^k(\mathfrak{gl}_n),…