Quantum Troesch complex
Quantum Algebra
2026-05-20 v1 Representation Theory
Abstract
We study the effect of quantum Frobenius twist on Ext-groups in the category of quantum polynomial, and prove that the existence of type of complexes, called quantum Troesch complexes, enables the construction of a spectral sequence computing the Ext groups of twisted functors from the knowledge of Ext-groups of the original functors. We then construct quantum Troesch complexes in the special case where the parameters of the quantum deformation is a root of unity of order 3.
Cite
@article{arxiv.2605.19636,
title = {Quantum Troesch complex},
author = {Théo Deturck},
journal= {arXiv preprint arXiv:2605.19636},
year = {2026}
}