Quiver Hecke algebras and categorification
Jonathan Brundan
TL;DR
This paper introduces quiver Hecke algebras and discusses their role in categorifying quantum groups, providing foundational insights based on lectures from a 2012 workshop.
Contribution
It offers an accessible overview of quiver Hecke algebras and their application to the categorification of quantum groups, highlighting recent developments.
Findings
Clarifies the structure of quiver Hecke algebras
Connects these algebras to quantum group categorification
Provides foundational knowledge for further research
Abstract
This is a brief introduction to the quiver Hecke algebras of Khovanov, Lauda and Rouquier, emphasizing their application to the categorification of quantum groups. The text is based on lectures given by the author at the ICRA workshop in Bielefeld in August, 2012.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research