A rigged configuration model for B(∞)

Ben Salisbury; Travis Scrimshaw

doi:10.1016/j.jcta.2015.01.008

A rigged configuration model for B(∞)

Ben Salisbury
, Travis Scrimshaw

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

18 Scopus citations

Abstract

We describe a combinatorial realization of the crystals B(∞) and B(λ) using rigged configurations in all symmetrizable Kac-Moody types up to certain conditions. This includes all simply-laced types and all non-simply-laced finite and affine types.

Original language	English (US)
Pages (from-to)	29-57
Number of pages	29
Journal	Journal of Combinatorial Theory. Series A
Volume	133
DOIs	https://doi.org/10.1016/j.jcta.2015.01.008
State	Published - Mar 1 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Crystal
Quantum group
Rigged configuration

Publisher link

10.1016/j.jcta.2015.01.008

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title = "A rigged configuration model for B(∞)",

abstract = "We describe a combinatorial realization of the crystals B(∞) and B(λ) using rigged configurations in all symmetrizable Kac-Moody types up to certain conditions. This includes all simply-laced types and all non-simply-laced finite and affine types.",

keywords = "Crystal, Quantum group, Rigged configuration",

author = "Ben Salisbury and Travis Scrimshaw",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = mar,

day = "1",

doi = "10.1016/j.jcta.2015.01.008",

language = "English (US)",

volume = "133",

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journal = "Journal of Combinatorial Theory. Series A",

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T1 - A rigged configuration model for B(∞)

AU - Salisbury, Ben

AU - Scrimshaw, Travis

PY - 2015/3/1

Y1 - 2015/3/1

N2 - We describe a combinatorial realization of the crystals B(∞) and B(λ) using rigged configurations in all symmetrizable Kac-Moody types up to certain conditions. This includes all simply-laced types and all non-simply-laced finite and affine types.

AB - We describe a combinatorial realization of the crystals B(∞) and B(λ) using rigged configurations in all symmetrizable Kac-Moody types up to certain conditions. This includes all simply-laced types and all non-simply-laced finite and affine types.

KW - Crystal

KW - Quantum group

KW - Rigged configuration

UR - https://www.scopus.com/pages/publications/84922488067

UR - https://www.scopus.com/pages/publications/84922488067#tab=citedBy

U2 - 10.1016/j.jcta.2015.01.008

DO - 10.1016/j.jcta.2015.01.008

M3 - Article

AN - SCOPUS:84922488067

SN - 0097-3165

VL - 133

SP - 29

EP - 57

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

ER -

A rigged configuration model for B(∞)

Abstract

Bibliographical note

Keywords

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