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.
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Official URL: http://qjmath.oxfordjournals.org/content/early/200...
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 |
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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 |
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