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

A. Meurman; A. Primc; M. Primc; S. Capparelli

New Partition Identities From C_(ell)⁽¹⁾-Modules

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

New Partition Identities From C_(ell)⁽¹⁾-Modules

S. Capparelli , A. Meurman , A. Primc , M. Primc This is my paper

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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.

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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.