M. Ignatyev

activity

20152021

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4 papers · 1 filter

math.RT2020

The orbit method for locally nilpotent infinite-dimensional Lie algebras

Mikhail V. Ignatyev, Alexey Petukhov

Let $n$ be a locally nilpotent infinite-dimensional Lie algebra over $C$ . Let $U (n)$ and $S (n)$ be its universal envelop…

math.RT2019

Centrally generated primitive ideals of $U (n)$ for exceptional types

Mikhail V. Ignatyev, Aleksandr A. Shevchenko

Let $g$ be a complex semisimple Lie algebra, $b$ be a Borel subalgebra of $g$ , $n$ be the nilradical of $b$ , and $U(\mathfrak…

math.RT2018

On involutions in the Weyl group and $B$ -orbit closures in the orthogonal case

Mikhail V. Ignatyev

We study coadjoint $B$ -orbits on $n^{*}$ , where $B$ is a Borel subgroup of a complex orthogonal group $G$ , and $n$ is the Lie algebra of the unipotent radical o…

math.RT2015

Infinite Kostant cascades and centrally generated primitive ideals of $U (n)$ in types $A_{\infty}$ , $C_{\infty}$

Mikhail Ignatyev, Ivan Penkov

We study the center of $U (n)$ , where $n$ is the locally nilpotent radical of a splitting Borel subalgebra of a simple complex Lie algebra $\mathfrak{g}=\mathf…

The orbit method for locally nilpotent infinite-dimensional Lie algebras

Centrally generated primitive ideals of U(n) for exceptional types

On involutions in the Weyl group and B-orbit closures in the orthogonal case

Infinite Kostant cascades and centrally generated primitive ideals of U(n) in types A∞​, C∞​

Centrally generated primitive ideals of $U (n)$ for exceptional types

On involutions in the Weyl group and $B$ -orbit closures in the orthogonal case

Infinite Kostant cascades and centrally generated primitive ideals of $U (n)$ in types $A_{\infty}$ , $C_{\infty}$