Evaluation 2-functors for Kac–Moody 2-categories of type A2

Pacific Journal of Mathematics 2026 Open access

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Authors: Marco Mackaay, James Macpherson, Pedro Vaz
DOI: 10.2140/pjm.2026.341.103
Cited by: 0

Abstract

We construct a 2-functor from the Kac-Moody 2-category for the extended quantum affine sl 3 to the homotopy 2-category of bounded chain complexes with values in the Kac-Moody 2-category for quantum gl 3 , categorifying the evaluation map between the corresponding quantum Kac-Moody algebras.Our approach establishes and exploits a categorical analogue of the wellknown relation between the evaluation map and Lusztig's internal braid group action for quantum gl 3 .

Fields of Study & Subjects

Commutative Algebra and Its Applications Algebraic Geometry and Number Theory Advanced Algebra and Geometry

Publication details

Journal / source
Pacific Journal of Mathematics
Volume
341
Issue
1
Pages
103–145
Publication date
10 March 2026
Language
EN