M. Ignatyev

activity

20152020

collaborators

4 papers

math.AG2020

On tangent cones to Schubert varieties in type $E$

Mikhail V. Ignatyev, Aleksandr A. Shevchenko

We consider tangent cones to Schubert subvarieties of the flag variety $G / B$ , where $B$ is a Borel subgroup of a reductive complex algebraic group $G$ of type $E_{6}$ , $E_{7}$ or $E_{8}$ …

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.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…

On tangent cones to Schubert varieties in type E

The orbit method for locally nilpotent infinite-dimensional Lie algebras

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

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

On tangent cones to Schubert varieties in type $E$

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

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