Tair Akhmejanov

collaborators

3 papers

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.CO2020

Non-elliptic Webs and Convex Sets in the Affine Building

Tair Akhmejanov

We describe the $s l_{3}$ non-elliptic webs in terms of convex sets in the affine building. Kuperberg defined the non-elliptic web basis in his work on rank- $2$ spider categ…

math.CO2017

Growth Diagrams and Minuscule Polygon Configurations in the Affine Grassmannian

Tair Akhmejanov

We define affine growth diagrams consisting of $G L_{m}$ dominant weights that label the vertices of a staircase-shaped grid. These are also called cylindrical growth diagrams as defi…

Promotion and Cyclic Sieving on Rectangular δ-Semistandard Tableaux

Non-elliptic Webs and Convex Sets in the Affine Building

Growth Diagrams and Minuscule Polygon Configurations in the Affine Grassmannian

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