Skip Navigation


Proceedings of the London Mathematical Society Advance Access originally published online on January 29, 2007
Proceedings of the London Mathematical Society 2007 94(3):647-671; doi:10.1112/plms/pdl022
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
94/3/647    most recent
pdl022v1
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
Google Scholar
Right arrow Articles by Goodearl, K. R.
Right arrow Articles by Zhang, J. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2007 London Mathematical Society

Homological properties of quantized coordinate rings of semisimple groups

K. R. Goodearl1 and J. J. Zhang2

1 Department of Mathematics
University of California at Santa Barbara
Santa Barbara, CA 93106
USA
goodearl{at}math.ucsb.edu
2 Department of Mathematics
Box 354350
University of Washington
Seattle, WA 98195
USA
zhang{at}math.washington.edu

Received 19 October 2005.

We prove that the generic quantized coordinate ring Oq(G) is Auslander-regular, Cohen–Macaulay, and catenary for every connected semisimple Lie group G. This answers questions raised by Brown, Lenagan, and the first author. We also prove that under certain hypotheses concerning the existence of normal elements, a noetherian Hopf algebra is Auslander–Gorenstein and Cohen–Macaulay. This provides a new set of positive cases for a question of Brown and the first author.


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.