Reflection functors on quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park
TL;DR
This paper introduces reflection functors for quiver Hecke algebras across all symmetrizable Kac-Moody types, providing a categorification of Lusztig's braid symmetries.
Contribution
It constructs reflection functors for quiver Hecke algebras that generalize previous cases and categorify Lusztig's braid symmetries.
Findings
Construction of reflection functors for all symmetrizable Kac-Moody types
Categorification of Lusztig's braid symmetries
Extension of known results to broader algebraic structures
Abstract
We construct the reflection functors for quiver Hecke algebras of an arbitrary symmetrizable Kac-Moody type. These reflection functors categorify Lusztig's braid symmetries.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology