2-Kac-Moody algebras
Raphael Rouquier

TL;DR
This paper constructs a 2-category linked to Kac-Moody algebras, explores its 2-representations, and extends previous work on type A, connecting categorifications with K_0 properties.
Contribution
It introduces a new 2-category framework for Kac-Moody algebras and generalizes earlier type A results to broader classes.
Findings
Established a new 2-category associated with Kac-Moody algebras.
Analyzed the relationship between categorifications and 2-representations.
Extended previous type A categorification results to more general cases.
Abstract
We construct a 2-category associated with a Kac-Moody algebra and we study its 2-representations. This generalizes earlier work with Chuang for type A. We relate categorifications relying on K_0 properties and 2-representations.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Combinatorial Mathematics
