Connecting Marginally Large Tableaux and Rigged Configurations via Crystals

Ben Salisbury; Travis Scrimshaw

doi:10.1007/s10468-015-9587-y

Connecting Marginally Large Tableaux and Rigged Configurations via Crystals

Ben Salisbury, Travis Scrimshaw

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We show that the bijection from rigged configurations to tensor products of Kirillov-Reshetikhin crystals extends to a crystal isomorphism between the B(∞) models given by rigged configurations and marginally large tableaux.

Original language	English
Pages (from-to)	523-546
Number of pages	24
Journal	Algebr. Represent. Theory.
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s10468-015-9587-y
State	Published - Jun 1 2016

Keywords

Crystal
Marginally large tableaux
Rigged configuration
Segments

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10.1007/s10468-015-9587-y

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title = "Connecting Marginally Large Tableaux and Rigged Configurations via Crystals",

abstract = "We show that the bijection from rigged configurations to tensor products of Kirillov-Reshetikhin crystals extends to a crystal isomorphism between the B(∞) models given by rigged configurations and marginally large tableaux.",

keywords = "Crystal, Marginally large tableaux, Rigged configuration, Segments",

author = "Ben Salisbury and Travis Scrimshaw",

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doi = "10.1007/s10468-015-9587-y",

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AU - Salisbury, Ben

AU - Scrimshaw, Travis

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N2 - We show that the bijection from rigged configurations to tensor products of Kirillov-Reshetikhin crystals extends to a crystal isomorphism between the B(∞) models given by rigged configurations and marginally large tableaux.

AB - We show that the bijection from rigged configurations to tensor products of Kirillov-Reshetikhin crystals extends to a crystal isomorphism between the B(∞) models given by rigged configurations and marginally large tableaux.

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KW - Marginally large tableaux

KW - Rigged configuration

KW - Segments

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DO - 10.1007/s10468-015-9587-y

M3 - Article

AN - SCOPUS:84957685226

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JF - Algebr. Represent. Theory.

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Connecting Marginally Large Tableaux and Rigged Configurations via Crystals

Abstract

Keywords

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