The Khovanov-Lauda 2-category and categorifications of a level two quantum sl(n) representation
David Hill, Joshua Sussan
TL;DR
This paper constructs 2-functors linking a 2-category that categorifies quantum sl(n) to another that categorifies a specific irreducible representation, advancing the understanding of categorification in quantum algebra.
Contribution
It introduces explicit 2-functors connecting categorifications of quantum sl(n) to those of a level two irreducible representation, providing new tools for representation theory.
Findings
Established 2-functors between categorifying 2-categories
Enhanced understanding of categorification of quantum sl(n)
Provided a framework for studying level two representations
Abstract
We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra