On a Rogers-Ramanujan type identity from crystal base theory

TL;DR

This paper refines and generalizes a Rogers-Ramanujan type partition identity derived from crystal base theory, employing a novel weighted words method for the proof.

Contribution

It introduces a new generalization of a Rogers-Ramanujan type identity using crystal base theory and a recent weighted words technique.

Findings

Refined a Rogers-Ramanujan type identity

Generalized the identity within crystal base framework

Applied a new weighted words proof method

Abstract

We refine and generalise a Rogers-Ramanujan type partition identity arising from crystal base theory. Our proof uses the variant of the method of weighted words recently introduced by the first author.