Hall--Littlewood functions and the A_2 Rogers--Ramanujan identities

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We prove an identity for Hall--Littlewood symmetric functions labelled by the Lie algebra A_2. Through specialization this yields a simple proof of the A_2 Rogers--Ramanujan identities of Andrews, Schilling and the author.
25 pages, typos corrected

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Combinatorics, Quantum Algebra, 05E05; 05A17; 05A19

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http://salesiana.dossiersoluciones.com/handle/123456789/161354

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0410592
 http://arxiv.org/abs/math/0410592
 Adv. Math. 200 (2006), 403-434

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arXiv