A proof of the second Rogers-Ramanujan identity via Kleshchev multipartitions
Shunsuke Tsuchioka
TL;DR
This paper presents a new proof of the second Rogers-Ramanujan identity using Kashiwara crystals, offering an alternative approach to a classical combinatorial identity.
Contribution
It introduces a novel proof method for the Rogers-Ramanujan identity leveraging Kashiwara crystal theory, expanding the toolkit for proving such identities.
Findings
New proof of the second Rogers-Ramanujan identity
Application of Kashiwara crystals to combinatorial identities
Enhanced understanding of the identity's algebraic structure
Abstract
We give another proof of the second Rogers-Ramanujan identity by Kashiwara crystals.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Advanced Algebra and Geometry