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

Published 11 Jun 2021 in math.RT, math.CO, and math.QA | (2106.06262v2)

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.

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