A combinatorial proof and refinement of a partition identity of Siladić

Abstract

In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type partition identity of Siladić arising from the study of Lie algebras. Our proof uses generating functions and $q$-difference equations.

References in corpus (2)

• Annihilating fields of standard modules of sl(2,C)~ and combinatorial identities
• Twisted ${\mathfrak{sl}}(3,\C)\sptilde$-modules and combinatorial identities