A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy

Fuente: arXiv
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Main Author: Tsuchioka, Shunsuke
Format: Preprint
Published: 2022
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author Tsuchioka, Shunsuke
author_facet Tsuchioka, Shunsuke
contents We define a length function for a perfect crystal. As an application, we derive a variant of the Rogers-Ramanujan identities which involves (a $q$-analog of) the Fibonacci numbers.
format Preprint
id arxiv_https___arxiv_org_abs_2211_04296
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy
Tsuchioka, Shunsuke
Quantum Algebra
Combinatorics
Representation Theory
We define a length function for a perfect crystal. As an application, we derive a variant of the Rogers-Ramanujan identities which involves (a $q$-analog of) the Fibonacci numbers.
title A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy
topic Quantum Algebra
Combinatorics
Representation Theory
url https://arxiv.org/abs/2211.04296