arXiv Analytics

Sign in

arXiv:1301.5868 [math.RT]AbstractReferencesReviewsResources

Quiver Hecke algebras and categorification

Jonathan Brundan

Published 2013-01-24, updated 2013-10-01Version 2

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.

Comments: This version fixes a couple of typos
Journal: in: "Advances in Represenation Theory of Algebras", eds: D. Benson, H. Krause, A. Skowronski, EMS Congress Reports, 2013, pp. 103--133
Categories: math.RT, math.RA
Subjects: 16E05, 16S38, 17B37
Related articles: Most relevant | Search more
arXiv:0803.3668 [math.RT] (Published 2008-03-26, updated 2008-04-23)
Categorification of integrable representations of quantum groups
arXiv:2205.08855 [math.RT] (Published 2022-05-18)
Quiver Hecke algebras for Borcherds-Cartan datum
arXiv:1407.6457 [math.RT] (Published 2014-07-24, updated 2014-10-01)
A categorification of $\mathfrak{q}(2)$-crystals