David B. Rush

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20112026

most citedOn Orbits of Order Ideals of Minuscule Posets

45 citations · 87 across the 6 of their papers we have counts for

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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★ 6 cited

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…