Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_2$

Motoki Takigiku; Shunsuke Tsuchioka

Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra A⁽²⁾₂

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2006.02630 v1 pith:OYFYUOJO submitted 2020-06-04 math.RT math.NT

Andrews-Gordon type series for the level 5 and 7 standard modules of the affine Lie algebra A⁽²⁾₂

Motoki Takigiku , Shunsuke Tsuchioka This is my paper

classification math.RT math.NT

keywords levelmodulesseriesaffinealgebraandrews-gordongivestandard

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We give Andrews-Gordon type series for the principal characters of the level 5 and 7 standard modules of the affine Lie algebra $A^{(2)}_{2}$. We also give conjectural series for some level 2 modules of $A^{(2)}_{13}$.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Leading Terms of Relations on a Level 5 Module over the Twisted Affine Lie Algebra $A_2^{(2)}$
math.CO 2025-11 conditional novelty 5.0

The partial partition conditions for level 5 A2^(2) L(5Λ0) match the specialized character through q^41, miss one partition each at q^42 and q^48, and differ from the Borcea-dual A1^(1) level 2 identity.