English

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

Representation Theory 2022-09-26 v2 Combinatorics Quantum Algebra

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)C^{(1)}_\ell, 2\ell\geq2, and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.

Keywords

Cite

@article{arxiv.2106.06262,
  title  = {New Partition Identities From $C_{\ell}^{(1)}$-Modules},
  author = {S. Capparelli and A. Meurman and A. Primc and M. Primc},
  journal= {arXiv preprint arXiv:2106.06262},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-24T03:05:35.841Z