In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type partition identity of Siladi\'c arising from the study of Lie algebras. Our proof uses generating functions and $q$-difference equations.
Beck-type identities: new combinatorial proofs and a theorem for parts congruent to $t$ mod $r$
Combinatorial proof of the transcendence of $L(1,χ_s)/Π$
A combinatorial proof of the Rogers-Ramanujan and Schur identities
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