2 papers
math.RT2023
A Deleting Derivations Algorithm for Quantum Nilpotent Algebras at Roots of Unity
Stéphane Launois, Samuel A. Lopes, Alexandra Rogers
This paper extends an algorithm and canonical embedding by Cauchon to a large class of quantum algebras. It applies to iterated Ore extensions over a field satisfying some suitable…
math.QA2022
Quantum Grassmannians and their Associated Quantum Schubert Varieties at roots of unity
Jason P. Bell, Stéphane Launois, Alexandra Rogers
We study the PI degree of various quantum algebras at roots of unity, including quantum Grassmannians, quantum Schubert varieties, partition subalgebras, and their associated quant…