English

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

Combinatorics 2008-05-21 v2 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.math/0410592,
  title  = {Hall--Littlewood functions and the A_2 Rogers--Ramanujan identities},
  author = {S. Ole Warnaar},
  journal= {arXiv preprint arXiv:math/0410592},
  year   = {2008}
}

Comments

25 pages, typos corrected