Hall – Littlewood Functions and the a 2 Rogers – Ramanujan Identities

  title={Hall – Littlewood Functions and the a 2 Rogers – Ramanujan Identities},
  author={S. Ole Warnaar},
We prove an identity for Hall–Littlewood symmetric functions labelled by the Lie algebra A2. Through specialization this yields a simple proof of the A2 Rogers–Ramanujan identities of Andrews, Schilling and the author. Nous démontrons une identité pour les functions symétriques de Hall–Littlewood associée à l’algèbre de Lie A2. En spécialisant cette identité, nous obtenons une démonstration simple des identités du type Rogers–Ramanujan associées á A2 d’Andrews, Schilling et l’auteur. 

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