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Moscow Mathematical Journal, 2013, Volume 13, Number 2, Pages 315–343
DOI: https://doi.org/10.17323/1609-4514-2013-13-2-315-343 (Mi mmj499) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Categorification of highest weight modules over quantum generalized Kac–Moody algebras

Seok-Jin Kanga, Masaki Kashiwarabc, Se-Jin Ohd

a Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul 151-747, Korea
b Department of Mathematical Sciences, Seoul National University, 599 Gwanak-ro, Gwanak-gu, Seoul 151-747, Korea
c Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan
d Pohang Mathematics Institute, Pohang University of Science and Technology, San31 Hyoja-Dong Nam-Gu, Pohang 790-784, Korea
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DOI: https://doi.org/10.17323/1609-4514-2013-13-2-315-343
Abstract: Let $U_q(\mathfrak g)$ be a quantum generalized Kac–Moody algebra and let $V(\Lambda)$ be the integrable highest weight $U_q(\mathfrak g)$-module with highest weight $\Lambda$. We prove that the cyclotomic Khovanov–Lauda–Rouquier algebra $R^\Lambda$ provides a categorification of $V(\Lambda)$.
Key words and phrases: categorification, Khovanov–Lauda–Rouquier algebras, cyclotomic quotient, quantum generalized Kac–Moody algebras.
Received: June 14, 2011; in revised form March 17, 2012
Bibliographic databases:
Document Type: Article
MSC: 05E10, 16G99, 81R10
Language: English
Citation: Seok-Jin Kang, Masaki Kashiwara, Se-Jin Oh, “Categorification of highest weight modules over quantum generalized Kac–Moody algebras”, Mosc. Math. J., 13:2 (2013), 315–343
Citation in format AMSBIB
\Bibitem{KanKasOh13}
\by Seok-Jin~Kang, Masaki~Kashiwara, Se-Jin~Oh
\paper Categorification of highest weight modules over quantum generalized Kac--Moody algebras
\jour Mosc. Math.~J.
\yr 2013
\vol 13
\issue 2
\pages 315--343
\mathnet{http://mi.mathnet.ru/mmj499}
\crossref{https://doi.org/10.17323/1609-4514-2013-13-2-315-343}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3134909}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317381000005}
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