Virtual Crystals and Nakajima Monomials

An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified Nakajima monomials in type Aₙ.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2018
Hauptverfasser: Salisbury, B., Scrimshaw, T.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2018
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/209854
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Virtual Crystals and Nakajima Monomials / B. Salisbury, T. Scrimshaw // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 73 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-209854
record_format dspace
spelling Salisbury, B.
Scrimshaw, T.
2025-11-27T14:55:47Z
2018
Virtual Crystals and Nakajima Monomials / B. Salisbury, T. Scrimshaw // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 73 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 05E10; 17B37
arXiv: 1707.09638
https://nasplib.isofts.kiev.ua/handle/123456789/209854
https://doi.org/10.3842/SIGMA.2018.103
An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified Nakajima monomials in type Aₙ.
B.Salisbury was partially supported by CMU Early Career grant #C62847 and by Simons Foundation grant #429950. T.Scrimshaw was partially supported by the National Science Foundation RTG grant NSF/DMS-1148634. This work benefited from computations using SageMath [60, 61].
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Virtual Crystals and Nakajima Monomials
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Virtual Crystals and Nakajima Monomials
spellingShingle Virtual Crystals and Nakajima Monomials
Salisbury, B.
Scrimshaw, T.
title_short Virtual Crystals and Nakajima Monomials
title_full Virtual Crystals and Nakajima Monomials
title_fullStr Virtual Crystals and Nakajima Monomials
title_full_unstemmed Virtual Crystals and Nakajima Monomials
title_sort virtual crystals and nakajima monomials
author Salisbury, B.
Scrimshaw, T.
author_facet Salisbury, B.
Scrimshaw, T.
publishDate 2018
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description An explicit description of the virtualization map for the (modified) Nakajima monomial model for crystals is given. We give an explicit description of the Lusztig data for modified Nakajima monomials in type Aₙ.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/209854
citation_txt Virtual Crystals and Nakajima Monomials / B. Salisbury, T. Scrimshaw // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 73 назв. — англ.
work_keys_str_mv AT salisburyb virtualcrystalsandnakajimamonomials
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first_indexed 2025-12-07T12:51:27Z
last_indexed 2025-12-07T12:51:27Z
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