PBW bases and marginally large tableaux in types B and C

Jackson A. Criswell; Ben Salisbury; Peter Tingley

PBW bases and marginally large tableaux in types B and C

Jackson A. Criswell, Ben Salisbury, Peter Tingley

Mathematics

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

Abstract

We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.

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
Kostant partition
PBW basis
Young tableaux

Cite this

@conference{2bfac7b01b834e2889bae428e38be715,

title = "PBW bases and marginally large tableaux in types B and C",

abstract = "We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.",

keywords = "Crystal, Kostant partition, PBW basis, Young tableaux",

author = "Criswell, {Jackson A.} and Ben Salisbury and Peter Tingley",

note = "Publisher Copyright: {\textcopyright} FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.; 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 ; Conference date: 16-07-2018 Through 20-07-2018",

year = "2018",

language = "English",

}

TY - CONF

T1 - PBW bases and marginally large tableaux in types B and C

AU - Criswell, Jackson A.

AU - Salisbury, Ben

AU - Tingley, Peter

PY - 2018

Y1 - 2018

N2 - We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.

AB - We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara's infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.

KW - Crystal

KW - Kostant partition

KW - PBW basis

KW - Young tableaux

UR - http://www.scopus.com/inward/record.url?scp=85089348252&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85089348252

T2 - 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018

Y2 - 16 July 2018 through 20 July 2018

ER -

PBW bases and marginally large tableaux in types B and C

Abstract

Conference

Keywords

Other files and links

Fingerprint

Cite this