Eunjeong Lee

activity

20112023

most citedGeneric torus orbit closures in Schubert varieties

19 citations · 76 across the 22 of their papers we have counts for

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7 papers · 1 filter

math.CO2023

On combinatorics of string polytopes in types $B$ and $C$

Yunhyung Cho, Naoki Fujita, Eunjeong Lee

A string polytope is a rational convex polytope whose lattice points parametrize a highest weight crystal basis, which is obtained from a string cone by explicit affine inequalitie…

math.CO2020★ 1 cited

Grossberg-Karshon twisted cubes and hesitant jumping walk avoidance

Eunjeong Lee

Let $G$ be a complex simply-laced semisimple algebraic group of rank $r$ and $B$ a Borel subgroup. Let $i \in [r]^{n}$ be a word and let $\mathbf \ell = (\ell_1,\dots,\ell_n)…

math.CO2019

Torus orbit closures in flag varieties and retractions on Weyl groups

Eunjeong Lee, Mikiya Masuda, Seonjeong Park

A finite Coxeter group $W$ has a natural metric $d$ and if $M$ is a subset of $W$ , then for each $u \in W$ , there is $q \in M$ such that $d (u, q) = d (u, M)$ …

math.CO2019★ 13 cited

Toric Bruhat interval polytopes

Eunjeong Lee, Mikiya Masuda, Seonjeong Park

For two elements $v$ and $w$ of the symmetric group $S_{n}$ with $v \leq w$ in Bruhat order, the Bruhat interval polytope $Q_{v, w}$ is the convex hull of the points $(z(1),…

math.CO2019★ 3 cited

On the combinatorics of string polytopes

Yunhyung Cho, Yoosik Kim, Eunjeong Lee +1

For a reduced word $i$ of the longest element in the Weyl group of $SL_{n + 1} (C)$ , one can associate the string cone $C_{i}$ which parametrizes the dual…

math.CO2018★ 19 cited

Generic torus orbit closures in Schubert varieties

Eunjeong Lee, Mikiya Masuda

The closure of a generic torus orbit in the flag variety $G / B$ of type $A_{n - 1}$ is known to be a permutohedral variety and well studied. In this paper we introduce the notion of a…

math.CO2014★ 1 cited

Grossberg-Karshon twisted cubes and hesitant walk avoidance

Megumi Harada, Eunjeong Lee

Let $G$ be a complex semisimple simply connected linear algebraic group. Let $λ$ be a dominant weight for $G$ and $I = (i_{1}, i_{2}, \dots, i_{n})$ a word decomposition for a…

On combinatorics of string polytopes in types B and C