Canonical bases and Khovanov-Lauda algebras
M. Varagnolo, E. Vasserot
TL;DR
This paper proves conjectures related to the categorification of half of the quantum group using Khovanov-Lauda algebras, advancing understanding in algebraic categorification.
Contribution
It confirms recent conjectures of Khovanov-Lauda on categorification, providing new insights into quantum groups and algebraic structures.
Findings
Proved conjectures on categorification of quantum groups.
Established connections between Khovanov-Lauda algebras and Cartan data.
Enhanced understanding of algebraic categorification methods.
Abstract
We prove some recent conjectures of Khovanov-Lauda concerning the categorification of one-half of the quantum group associated with a simply laced Cartan datum.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research