PBW bases and marginally large tableaux in types B and C

Fuente: arXiv
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Autores principales: Criswell, Jackson, Salisbury, Ben, Tingley, Peter
Formato: Preprint
Publicado: 2017
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author Criswell, Jackson
Salisbury, Ben
Tingley, Peter
author_facet Criswell, Jackson
Salisbury, Ben
Tingley, Peter
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1708_04311
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle PBW bases and marginally large tableaux in types B and C
Criswell, Jackson
Salisbury, Ben
Tingley, Peter
Combinatorics
Quantum Algebra
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.
title PBW bases and marginally large tableaux in types B and C
topic Combinatorics
Quantum Algebra
url https://arxiv.org/abs/1708.04311