Folding shuffle algebras and twisted $q$-characters

Fuente: arXiv
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Autori principali: Neguţ, Andrei, Wang, Keyu
Natura: Preprint
Pubblicazione: 2026
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author Neguţ, Andrei
Wang, Keyu
author_facet Neguţ, Andrei
Wang, Keyu
contents Using our new notion of folding shuffle algebras, we prove a conjecture of Hernandez on the equality between certain $q$-characters of quantum untwisted affine algebra modules and their twisted counterparts. We generalize this result to the setting of arbitrary quivers with automorphisms, in particular by defining and describing twisted quantum toroidal algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2606_02471
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Folding shuffle algebras and twisted $q$-characters
Neguţ, Andrei
Wang, Keyu
Representation Theory
Quantum Algebra
Using our new notion of folding shuffle algebras, we prove a conjecture of Hernandez on the equality between certain $q$-characters of quantum untwisted affine algebra modules and their twisted counterparts. We generalize this result to the setting of arbitrary quivers with automorphisms, in particular by defining and describing twisted quantum toroidal algebras.
title Folding shuffle algebras and twisted $q$-characters
topic Representation Theory
Quantum Algebra
url https://arxiv.org/abs/2606.02471