English

A classical $q$-hypergeometric approach to the standard $A_2^{(2)}$ standard modules

Classical Analysis and ODEs 2018-12-05 v1

Abstract

This is a written expansion of the talk delivered by the author at the International Conference on Number Theory in Honor of Krishna Alladi for his 60th Birthday, held at the University of Florida, March 17--21, 2016. Here we derive Bailey pairs that give rise to Rogers--Ramanujan type identities which are the principally specialized character of the A2(2)A_2^{(2)} standard module (2i+2)Λ0+(i1)Λ1(\ell - 2i+2)\Lambda_0 + (i-1)\Lambda_1 for any level \ell, and i=1,2i=1, 2.}

Keywords

Cite

@article{arxiv.1811.09323,
  title  = {A classical $q$-hypergeometric approach to the standard $A_2^{(2)}$ standard modules},
  author = {Andrew V. Sills},
  journal= {arXiv preprint arXiv:1811.09323},
  year   = {2018}
}

Comments

15 pp. Differs slightly from final published version

R2 v1 2026-06-23T05:24:59.809Z