Egor Voronetsky

activity

20242026

collaborators

5 papers

math.RT2026

Nilpotency of locally isotropic $K_{1}$ -functor

Egor Voronetsky

We show that the $K_{1}$ -functor modeled on locally isotropic reductive groups is hypoabelian if the base ring has finite Bass--Serre dimension and, for the Tits index $ \…

math.RT2026

Weyl elements in isotropic reductive groups

Egor Voronetsky

We study Weyl elements in isotropic reductive groups over commutative rings. Our main result in an explicit formula for squares of such elements. We also classify these elements in…

math.NT2025

The Diophantine problem in isotropic reductive groups

Egor Voronetsky

We begin to study model-theoretic properties of non-split isotropic reductive group schemes. In this paper we show that the base ring $K$ is e-interpretable in the point group $G(K…

math.GR2025

Locally isotropic Steinberg groups II. Schur multipliers

Egor Voronetsky

We compute Schur multipliers of locally isotropic Steinberg groups and of all root graded Steinberg groups with root systems of rank at least $3$ (excluding the types $ \mathsf H…

math.RT2024

Locally isotropic Steinberg groups I. Centrality of the $K_{2}$ -functor

Egor Voronetsky

We begin to study Steinberg groups associated with a locally isotropic reductive group $G$ over a arbitrary ring. We propose a construction of such a Steinberg group functor as a g…

Nilpotency of locally isotropic K1​-functor

Weyl elements in isotropic reductive groups

The Diophantine problem in isotropic reductive groups

Locally isotropic Steinberg groups II. Schur multipliers

Locally isotropic Steinberg groups I. Centrality of the K2​-functor

Nilpotency of locally isotropic $K_{1}$ -functor

Locally isotropic Steinberg groups I. Centrality of the $K_{2}$ -functor