A. Premet

activity

20032024

most citedNilpotent commuting varieties of reductive Lie algebras

53 citations · 152 across the 25 of their papers we have counts for

collaborators

27 papers

math.RT2024

Hesselink strata in small characteristic and Lusztig-Xue pieces

Alexander Premet

Let $G$ be a simple algebraic group over an algebraically closed field of characteristic $p \geq 0$ and $g = Lie (G)$ . We show that the nilpotent pieces $LX (Δ)$ i…

math.RT2023

Sandwich elements and the Richardson property

Alexander Premet

Let $L$ be finite dimensional restricted Lie algebra over an algebraically closed field $k$ of characteritic $p > 3$ . A finite dimensional restricted $L$ -module $…

math.RT2022

The number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits

Alexander Premet, David Stewart

In this paper we describe the number of multiplicity-free primitive ideals associated with the rigid nilpotent orbits in finite-dimensional simple Lie algebras. Thanks to the resul…

math.RT2020

Modular representations of Lie algebras of reductive groups and Humphreys' conjecture

Alexander Premet, Lewis Topley

Let $G$ be connected reductive algebraic group defined over an algebraically closed field of characteristic $p > 0$ and suppose that $p$ is a good prime for the root system of $G$ ,…

math.RA2017

Classification of the maximal subalgebras of exceptional Lie algebras over fields of good characteristic

Alexander Premet, David I. Stewart

Let $G$ be an exceptional simple algebraic group over an algebraically closed field $k$ and suppose that the characteristic $p$ of $k$ is a good prime for $G$ . In this paper we cla…

math.RT2016★ 1 cited

Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras

Tomoyuki Arakawa, Alexander Premet

We use affine W-algebras to quantize Mishchenko-Fomenko subalgebras for centralizers of nilpotent elements in simple Lie algebras under certain assumptions that are satisfied for a…