Affine Hall-Littlewood Functions for A(1)((1)) And Some Constant Term Identities of Cherednik-Macdonald-Mehta Type

Viswanath, Sankaran (2011) Affine Hall-Littlewood Functions for A(1)((1)) And Some Constant Term Identities of Cherednik-Macdonald-Mehta Type. In: The Quarterly Journal of Mathematics, 62 (1). pp. 223-233.

PDF AFFINE.pdf - Published Version Restricted to Registered users only Download (159kB) | Request a copy

Abstract

We study t-analogs of string functions for integrable highest weight representations of the affine Kac-Moody algebra A(1)((1)). 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.

Item Type:	Journal Article
Publication:	The Quarterly Journal of Mathematics
Publisher:	Oxford University Press
Additional Information:	Copyright of this article belongs to Oxford University Press.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Apr 2011 05:32
Last Modified:	20 Apr 2011 05:32
URI:	http://eprints.iisc.ac.in/id/eprint/36174

Actions (login required)

View Item