Description of crystals for generalized Kac-Moody algebras using rigged configurations

Ben Salisbury; Travis Scrimshaw

Description of crystals for generalized Kac-Moody algebras using rigged configurations

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

We give a model for B(8) and explicitly describe the *-involution using rigged configurations when g is a generalized Kac-Moody algebra.

Original language	English
State	Published - 2018
Event	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States Duration: Jul 16 2018 → Jul 20 2018

Conference

Conference	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Country/Territory	United States
City	Hanover
Period	07/16/18 → 07/20/18

Keywords

Crystal
Quantum group
Rigged configuration
Star-involution
Tableau

Cite this

@conference{eda9e6eeed0a496ba25fe97929d98468,

title = "Description of crystals for generalized Kac-Moody algebras using rigged configurations",

abstract = "We give a model for B(8) and explicitly describe the *-involution using rigged configurations when g is a generalized Kac-Moody algebra.",

keywords = "Crystal, Quantum group, Rigged configuration, Star-involution, Tableau",

author = "Ben Salisbury and Travis Scrimshaw",

note = "Funding Information: ∗salis1bt@cmich.edu. B. S. was partially supported by Simons Foundation grant 429950. †tcscrims@gmail.com. T. S. was partially supported by the Australian Research Council DP170102648. Publisher Copyright: {\textcopyright} FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.; null ; Conference date: 16-07-2018 Through 20-07-2018",

year = "2018",

language = "English",

}

TY - CONF

T1 - Description of crystals for generalized Kac-Moody algebras using rigged configurations

AU - Salisbury, Ben

AU - Scrimshaw, Travis

N1 - Funding Information: ∗salis1bt@cmich.edu. B. S. was partially supported by Simons Foundation grant 429950. †tcscrims@gmail.com. T. S. was partially supported by the Australian Research Council DP170102648. Publisher Copyright: © FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

PY - 2018

Y1 - 2018

N2 - We give a model for B(8) and explicitly describe the *-involution using rigged configurations when g is a generalized Kac-Moody algebra.

AB - We give a model for B(8) and explicitly describe the *-involution using rigged configurations when g is a generalized Kac-Moody algebra.

KW - Crystal

KW - Quantum group

KW - Rigged configuration

KW - Star-involution

KW - Tableau

UR - http://www.scopus.com/inward/record.url?scp=85089352884&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85089352884

Y2 - 16 July 2018 through 20 July 2018

ER -

Description of crystals for generalized Kac-Moody algebras using rigged configurations

Abstract

Conference

Keywords

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