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

School of 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 (US)
Pages (from-to)	523-546
Number of pages	24
Journal	Algebras and Representation Theory
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s10468-015-9587-y
State	Published - Jun 1 2016

Bibliographical note

Funding Information:
T.S. was partially supported by NSF grant OCI-1147247.

Publisher Copyright:
© 2015, Springer Science+Business Media Dordrecht.

Keywords

Crystal
Marginally large tableaux
Rigged configuration
Segments

Publisher link

10.1007/s10468-015-9587-y

Find It

Find It at U of M Libraries

Cite this

@article{95a1c4676f5844cc9ecf6683a7e9e8e4,

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",

note = "Funding Information: T.S. was partially supported by NSF grant OCI-1147247. Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media Dordrecht.",

year = "2016",

month = jun,

day = "1",

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

language = "English (US)",

volume = "19",

pages = "523--546",

journal = "Algebras and Representation Theory",

issn = "1386-923X",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Connecting Marginally Large Tableaux and Rigged Configurations via Crystals

AU - Salisbury, Ben

AU - Scrimshaw, Travis

PY - 2016/6/1

Y1 - 2016/6/1

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.

KW - Crystal

KW - Marginally large tableaux

KW - Rigged configuration

KW - Segments

UR - http://www.scopus.com/inward/record.url?scp=84957685226&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957685226&partnerID=8YFLogxK

U2 - 10.1007/s10468-015-9587-y

DO - 10.1007/s10468-015-9587-y

M3 - Article

AN - SCOPUS:84957685226

SN - 1386-923X

VL - 19

SP - 523

EP - 546

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 3

ER -

Connecting Marginally Large Tableaux and Rigged Configurations via Crystals

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this