Skip Navigation

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn085, 52 pages, doi:10.1093/imrn/rnn085 published on August 7, 2008
This Article
Right arrow Full Text (PDF)
Right arrow References
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 Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Right arrow How to cite this article
Google Scholar
Right arrow Articles by Cheng, S.-J.
Right arrow Articles by Kwon, J.-H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

Howe Duality and Kostant Homology Formula for Infinite-Dimensional Lie Superalgebras

Shun-Jen Cheng1 and Jae-Hoon Kwon2

1 Institute of Mathematics, Academia Sinica, Taipei, Taiwan 11529
2 Department of Mathematics, University of Seoul, Seoul 130-743, Korea

Correspondence: Correspondence to be sent to: jhkwon{at}uos.ac.kr

Using Howe duality, we compute explicitly Kostant-type homology groups for a wide class of representations of the infinite-dimensional Lie superalgebra Formula and its classical subalgebras at positive integral levels. We also obtain Kostant-type homology formulas for the Lie algebra Formula at negative integral levels. We further construct resolutions in terms of generalized Verma modules for these representations.


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.