Quantum polynomial functors from $e$-Hecke algebras

Valentin Buciumas, Hankyung Ko

Published 2017-08-14Version 1

We define a new category of quantum polynomial functors extending the quantum polynomials introduced by Hong and Yacobi. We show that our category has many properties of the category of Hong and Yacobi and is the natural setting in which one can define composition of quantum polynomial functors. Throughout the paper we highlight several key differences between the theory of classical and quantum polynomial functors.