Balázs Elek

activity

20162026

most citedBott-Samelson varieties and Poisson Ore extensions

9 citations · 13 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2026

Hypercube Richardson varieties from magic words

Balázs Elek

Inspired by the recent preprint of Ellenberg, Libedinsky, Plaza, Simental, and Williamson, we study the geometry of Richardson varieties whose associated Bruhat intervals are boole…

math.AG2026

The motivic class of the space of genus $0$ maps to the flag variety

Jim Bryan, Balázs Elek, Freddie Manners +2

Let $k$ be a field, let $Fl_{n + 1}$ be the variety of complete flags in $A_{k}^{n + 1}$ , and let $Ω_{β}^{2} (Fl_{n + 1})$ be the sp…

math.CO2024

Cacti, Toggles, and Reverse Plane Partitions

Devin Brown, Balazs Elek, Iva Halacheva

The cactus group acts combinatorially on crystals via partial Schützenberger involutions. This action has been studied extensively in type $A$ and described via Bender-Knuth involu…

math.RT2022★ 1 cited

Heaps, crystals, and preprojective algebra modules

Anne Dranowski, Balazs Elek, Joel Kamnitzer +1

Fix a simply-laced semisimple Lie algebra. We study the crystal $B (nλ)$ , were $λ$ is a dominant minuscule weight and $n$ is a natural number. On one hand, $B (nλ)$ can be realized…

math.CO2020

Promotion and Cyclic Sieving on Rectangular $δ$ -Semistandard Tableaux

Tair Akhmejanov, Balázs Elek

Let $δ = (δ_{1}, \dots, δ_{n})$ be a string of letters $h$ and $v$ . We define a Young tableau to be $δ$ -semistandard if the entries are weakly increasing along rows and columns, and the e…

math.AG2019

A Gröbner basis for Kazhdan-Lusztig ideals of the flag variety of affine type A

Balázs Elek, Daoji Huang

A Kazhdan-Lusztig variety is the intersection of a locally-closed Schubert cell with an opposite Schubert variety in a flag variety. We present a linear parametrization of the Schu…

math.RT2017

Finite type multiple flag varieties of exceptional groups

Dan Barbasch, Sergio Da Silva, Balázs Elek +1

Consider a simple complex Lie group $G$ acting diagonally on a triple flag variety $G / P_{1} \times G / P_{2} \times G / P_{3}$ , where $P_{i}$ is parabolic subgroup of $G$ . We provide an algorith…

math.AG2016★ 3 cited

Toric surfaces with equivariant Kazhdan-Lusztig atlases

Balazs Elek

A Kazhdan-Lusztig atlas, introduced by He, Knutson and Lu, on a stratified variety (V,Y) is a way of modeling the stratification Y of V locally on the stratification of Kazhdan-Lus…

math.DG2016★ 9 cited

Bott-Samelson varieties and Poisson Ore extensions

Balazs Elek, Jiang-Hua Lu

Let $G$ be a connected complex semi-simple Lie group, and let $Z_{u}$ be an $n$ -dimensional Bott-Samelson variety of $G$ , where $u$ is any sequence of simple reflections…