Affine Hall-Littlewood functions for $A_1^{(1)}$ and some constant term identities of Cherednik-Macdonald-Mehta type

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dc.creatorViswanath, Sankaran
dc.date2009-05-27
dc.date.accessioned2026-07-07T13:18:44Z
dc.date.available2026-07-07T13:18:44Z
dc.descriptionWe 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0905.4533
dc.identifierhttp://arxiv.org/abs/0905.4533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231522
dc.subjectRepresentation Theory
dc.subject33D67, 17B67
dc.titleAffine Hall-Littlewood functions for $A_1^{(1)}$ and some constant term identities of Cherednik-Macdonald-Mehta type
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