PBW Bases and Marginally Large Tableaux in Type D

Ben Salisbury; Adam Schultze; Peter Tingley

doi:10.4310/JOC.2018.v9.n3.a6

PBW Bases and Marginally Large Tableaux in Type D

Ben Salisbury
, Adam Schultze
, Peter Tingley

Department of Mathematics and Statistics

Central Michigan University
University at Albany, State University of New York

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

Abstract

We give an explicit description of the unique crystal isomorphism between two realizations of B(∞) in type D: that using marginally large tableaux and that using PBW monomials with respect to one particularly nice reduced expression of the longest word

Original language	American English
Journal	Mathematics and Statistics: Faculty Publications and Other Works
Volume	9
Issue number	3
DOIs	https://doi.org/10.4310/JOC.2018.v9.n3.a6
State	Published - Jan 1 2018

Keywords

PBW Bases
Type D
Large Tableaux
Kac-Moody Algebra
Crystal Isomorphism

Disciplines

Discrete Mathematics and Combinatorics
Mathematics

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PBW Bases and Marginally Large Tableaux in Type DFinal published version, 233 KBLicense: Unspecified

Cite this

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title = "PBW Bases and Marginally Large Tableaux in Type D",

abstract = " We give an explicit description of the unique crystal isomorphism between two realizations of B(∞) in type D: that using marginally large tableaux and that using PBW monomials with respect to one particularly nice reduced expression of the longest word",

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author = "Ben Salisbury and Adam Schultze and Peter Tingley",

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AU - Tingley, Peter

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KW - PBW Bases

KW - Type D

KW - Large Tableaux

KW - Kac-Moody Algebra

KW - Crystal Isomorphism

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DO - 10.4310/JOC.2018.v9.n3.a6

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JO - Mathematics and Statistics: Faculty Publications and Other Works

JF - Mathematics and Statistics: Faculty Publications and Other Works

IS - 3

ER -

PBW Bases and Marginally Large Tableaux in Type D

Abstract

Keywords

Disciplines

Access to Document

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