Affine Hall-Littlewood Functions for A(1)((1)) And Some Constant Term Identities of Cherednik-Macdonald-Mehta Type
Data(s) |
01/03/2011
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Resumo |
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. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/36174/1/AFFINE.pdf 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. |
Publicador |
Oxford University Press |
Relação |
http://qjmath.oxfordjournals.org/content/early/2009/11/02/qmath.hap035 http://eprints.iisc.ernet.in/36174/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |