Skip Navigation


Journal of the London Mathematical Society Advance Access originally published online on December 13, 2007
Journal of the London Mathematical Society 2008 77(2):273-286; doi:10.1112/jlms/jdm094
This Article
Right arrow FREE Full Text (PDF) Freely available
Right arrow All Versions of this Article:
77/2/273    most recent
jdm094v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Shin, D.-U.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2007 London Mathematical Society

Polyhedral realization of crystal bases for generalized Kac–Moody algebras

Dong-Uy Shin

Department of Mathematics Education
Hanyang University
Seoul 133-791
Korea

In this paper, we give a polyhedral realization of the crystal B({infty}) of Uq–(g) for the generalized Kac–Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac–Moody algebras of rank 2 and 3, and Monster Lie algebras.

This research was supported by KRF Grant #2007-331-C00007.

2000 Mathematics Subject Classification 81R50 (primary), 17B37 (secondary).

Received June 19, 2006; revised March 14, 2007; published online December 13, 2007.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.