M. Colarusso

activity

20082026

most citedThe Gelfand-Zeitlin integrable system and its action on generic elements of gl(n) and so(n)

4 citations · 13 across the 15 of their papers we have counts for

collaborators

16 papers

math.RT2026

Orbits on a product of two flags and a line and the Bruhat order, II

Mark Colarusso, Sam Evens

Let $G = G L (n)$ be the $n \times n$ complex general linear group and let $\B_{n}$ be its flag variety. A Borel subgroup $B$ of $G$ acts on $\B_{n}\times \mathbb{P}^{n-1}$ diagonally w…

math.RT2025

$K$ -type multiplicities in degenerate principal series via Howe duality

Mark Colarusso, William Q. Erickson, Andrew Frohmader +1

Let $K$ be one of the complex classical groups $O_{k}$ , $GL_{k}$ , or $Sp_{2 k}$ . Let $M \subseteq K$ be the block diagonal embedding ${\rm O}_{k_1} \times \cdots \time…

math.RT2025

Orbits on a product of two flags and a line and the Bruhat Order, I

Mark Colarusso, Sam Evens

Let $G = G L (n)$ be the $n \times n$ complex general linear group and let $B_{n}$ be its flag variety. The standard Borel subgroup $B$ of upper triangular matrices acts on th…

math.RT2024

$B_{n - 1}$ -orbits on the flag variety and the Bruhat graph of the symmetric group

Mark Colarusso, Sam Evens

Let $G = G_{n} = G L (n)$ be the $n \times n$ complex general linear group and embed $G_{n - 1} = G L (n - 1)$ in the top left hand corner of $G$ . The standard Borel subgroup of upper triangular…

math.RT2021

B_{n-1}-bundles on the flag variety, II

Mark Colarusso, Sam Evens

This paper is the sequel to `` $B_{n - 1}$ -bundles on the flag variety, I". We continue our study of the orbits of a Borel subgroup $B_{n - 1}$ of $G_{n - 1} = G L (n - 1)$ (resp. $S O (n - 1)$ ) ac…

math.RT2021

B_{n-1}-bundles on the flag variety, I

Mark Colarusso, Sam Evens

We show that each orbit of a Borel subgroup $B_{n - 1}$ of GL(n-1) (respectively SO(n-1)) on the flag variety of GL(n) (respectively of SO(n)) is a bundle over a $B_{n - 1}$ -orbit on a…

Orbits on a product of two flags and a line and the Bruhat order, II

K-type multiplicities in degenerate principal series via Howe duality

Orbits on a product of two flags and a line and the Bruhat Order, I

Bn−1​-orbits on the flag variety and the Bruhat graph of the symmetric group

B_{n-1}-bundles on the flag variety, II

B_{n-1}-bundles on the flag variety, I

$K$ -type multiplicities in degenerate principal series via Howe duality

$B_{n - 1}$ -orbits on the flag variety and the Bruhat graph of the symmetric group