Skip Navigation



The Quarterly Journal of Mathematics Advance Access published online on November 2, 2009
The Quarterly Journal of Mathematics, doi:10.1093/qmath/hap035
This Article
Right arrow Full Text (PDF)
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 Viswanath, S.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org

AFFINE HALL–LITTLEWOOD FUNCTIONS FOR AFormula AND SOME CONSTANT TERM IDENTITIES OF CHEREDNIK–MACDONALD–MEHTA TYPE

Sankaran Viswanath{dagger}

Department of Mathematics, Indian Institute of Science, Bangalore 560012, India

{dagger} E-mail: svis{at}math.iisc.ernet.in

Received 8 June 2009;
  Abstract

We study t-analogs of string functions for integrable highest weight representations of the affine Kac–Moody algebra AFormula. We obtain closed form formulas for certain t-string functions of levels 2 and 4. As corollaries, we obtain explicit identities for the corresponding affine Hall–Littlewood functions, as well as higher level generalizations of Cherednik's Macdonald and Macdonald–Mehta constant term identities.


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.