M. V. Ignatev

activity

20062021

collaborators

3 papers

math.RT2021

Rook placements in $G_{2}$ and $F_{4}$ and associated coadjoint orbits

Mikhail V. Ignatev, Matvey A. Surkov

Let $n$ be a maximal nilpotent subalgebra of a simple complex Lie algebra with root system $Φ$ . A subset $D$ of the set $Φ^{+}$ of positive roots is called a rook placemen…

math.RT2018

Gradedness of the set of rook placements in $A_{n - 1}$

Mikhail V. Ignatyev

A rook placement is a subset of a root system consisting of positive roots with pairwise non-positive inner products. To each rook placement in a root system one can assign the coa…

math.RT2006

Coadjoint orbits of the group $U T (7, K)$

M. V. Ignatev, A. N. Panov

We present the classification of coadjoint orbits of the unitriangular group $U T (7, K)$ . We also describe subregular orbits of $U T (n, K)$ for an arbitrary $n$ .

Rook placements in G2​ and F4​ and associated coadjoint orbits

Gradedness of the set of rook placements in An−1​

Coadjoint orbits of the group UT(7,K)

Rook placements in $G_{2}$ and $F_{4}$ and associated coadjoint orbits

Gradedness of the set of rook placements in $A_{n - 1}$

Coadjoint orbits of the group $U T (7, K)$