Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF Citations (5)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/mmj499
  • https://www.mathnet.ru/eng/mmj/v13/i2/p315
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024