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

Abstract

In this paper we conjecture combinatorial Rogers-Ramanujan type colored partition identities related to standard representations of the affine Lie algebra of type $C_{\ell }^{(1)}$, $\ell \ge 2$, and we conjecture similar colored partition identities with no obvious connection to representation theory of affine Lie algebras.

20 pages

References in corpus (1)

• Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities