David B. Rush

activity

20162026

most citedOn Order Ideals of Minuscule Posets III: The CDE Property

11 citations · 12 across the 2 of their papers we have counts for

collaborators

4 papers

math.RT2026

Quiver Bases of Cartan Squares of Minuscule Representations

David B Rush

We consider the Cartan square $V^{2 λ}$ of a minuscule representation $V^{λ}$ of a simply laced complex simple Lie algebra $g$ . We construct for $V^{2 λ}$ a family of bases,…

math.RT2020

Restriction of Global Bases and Rhoades's Theorem

David B Rush

It is shown that if $λ$ is a multiple of a fundamental weight of $sl_{k}$ , the lower global basis of the irreducible $U_{q} (sl_{k})$ -representation $V^{λ}$ with highe…

math.RT2017★ 1 cited

Computing the Lusztig--Vogan Bijection

David B Rush

Let $G$ be a connected complex reductive algebraic group with Lie algebra $g$ . The Lusztig--Vogan bijection relates two bases for the bounded derived category of $G$ -equ…

math.CO2016★ 11 cited

On Order Ideals of Minuscule Posets III: The CDE Property

David B Rush

Recent work of Hopkins establishes that the lattice of order ideals of a minuscule poset satisfies the coincidental down-degree expectations property of Reiner, Tenner, and Yong. H…