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conference paper

Quantum loop groups for arbitrary quivers

Negut, Andrei  
Khovanov, Mikhail
•
Sussan, Joshua
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2025
Workshop in Honor of Igor Frenkel’s 70th Birthday: From Representation Theory to Mathematical Physics and Back

We study the dual constructions of quantum loop groups and Feigin-Odesskii type shuffle algebras for an arbitrary quiver, for which the arrow parameters are arbitrary non-zero elements of any field. Examples of our setup include K-theoretic Hall algebras of quivers with 0 potential, quantum loop groups of Kac-Moody type and quiver quantum toroidal algebras.

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Type
conference paper
Scopus ID

2-s2.0-105005079514

Author(s)
Negut, Andrei  

École Polytechnique Fédérale de Lausanne

Editors
Khovanov, Mikhail
•
Sussan, Joshua
•
Zeitlin, Anton
Date Issued

2025

Publisher

American Mathematical Society

DOI of the book
https://doi.org/10.1090/conm/817
ISBN of the book

978-1-4704-7339-6

Series title/Series vol.

Contemporary Mathematics; 817

ISSN (of the series)

1098-3627

0271-4132

Start page

287

End page

324

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CRT  
Event nameEvent acronymEvent placeEvent date
Workshop in Honor of Igor Frenkel’s 70th Birthday: From Representation Theory to Mathematical Physics and Back

Stony Brook, United States

2022-05-31 - 2022-06-04

Available on Infoscience
May 26, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/250464
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