Pith. sign in

REVIEW 1 cited by

New Partition Identities From $C_{\ell}^{(1)}$-Modules

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 2106.06262 v2 pith:LEHLPGGM submitted 2021-06-11 math.RT math.COmath.QA

S. Capparelli , A. Meurman , A. Primc , M. Primc This is my paper · ORCID
classification math.RTmath.COmath.QA
keywords identitiespartitionaffinecoloredconjecturetypealgebraalgebras
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type $C^{(1)}_\ell$, $\ell\geq2$, and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. 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 of 10

    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.

Pith tools