Zbigniew Wojciechowski

activity

20232026

collaborators

4 papers

math.RT2026

Infinite sequences via Lie algebra actions for oligomorphic groups

Zbigniew Wojciechowski

Many integer sequences arise as numbers of $G$ -orbits on $(n X)$ as $n$ varies, for a permutation group $G \subseteq Sym (X)$ . For finite $X$ , Stanley proved th…

math.RT2024

A study of nil Hecke algebras via Hopf algebroids

Zbigniew Wojciechowski

Hopf algebroids are generalizations of Hopf algebras to less commutative settings. We show how the comultiplication defined by Kostant and Kumar turns the affine nil Hecke algebra…

math.RT2024

Diagrammatics for the smallest quantum coideal and Jones--Wenzl projectors

Catharina Stroppel, Zbigniew Wojciechowski

We describe algebraically, diagrammatically and in terms of weight vectors, the restriction of tensor powers of the standard representation of quantum $sl_{2}$ to a coidea…

math.RT2023

Categorified Jones-Wenzl Projectors and Generalizations

Zbigniew Wojciechowski

This preprint comprises the first four out of five chapters of the Master's thesis I wrote 2022 under the supervision of Catharina Stroppel and Paul Wedrich at the University of Bo…