The boundary algebra of a GL(m)-dimer

We consider GL(m)-dimers of triangulations of regular convex n-gons, which give rise to a dimer model with boundary Q and a dimer algebra Λ(Q). Let e(b) be the sum of the idempotents of all the boundary vertices, and [Image: see text] the associated boundary algebra. In this article we show that giv...

Descripción completa

Detalles Bibliográficos
Autor principal: Andritsch, Lukas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2020
Materias:
Original Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7971164/
https://www.ncbi.nlm.nih.gov/pubmed/33814645
http://dx.doi.org/10.1080/00927872.2020.1721515
_version_ 1783666563756326912
author Andritsch, Lukas
author_facet Andritsch, Lukas
author_sort Andritsch, Lukas
collection PubMed
description We consider GL(m)-dimers of triangulations of regular convex n-gons, which give rise to a dimer model with boundary Q and a dimer algebra Λ(Q). Let e(b) be the sum of the idempotents of all the boundary vertices, and [Image: see text] the associated boundary algebra. In this article we show that given two different triangulations T(1) and T(2) of the n-gon, the boundary algebras are isomorphic, i.e. [Image: see text]
format Online
Article
Text
id pubmed-7971164
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Taylor & Francis
record_format MEDLINE/PubMed
spelling pubmed-79711642021-03-31 The boundary algebra of a GL(m)-dimer Andritsch, Lukas Commun Algebra Original Articles We consider GL(m)-dimers of triangulations of regular convex n-gons, which give rise to a dimer model with boundary Q and a dimer algebra Λ(Q). Let e(b) be the sum of the idempotents of all the boundary vertices, and [Image: see text] the associated boundary algebra. In this article we show that given two different triangulations T(1) and T(2) of the n-gon, the boundary algebras are isomorphic, i.e. [Image: see text] Taylor & Francis 2020-02-09 /pmc/articles/PMC7971164/ /pubmed/33814645 http://dx.doi.org/10.1080/00927872.2020.1721515 Text en © 2020 The Author(s). Published with license by Taylor & Francis Group, LLC. https://creativecommons.org/licenses/by/4.0/This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Original Articles
Andritsch, Lukas
The boundary algebra of a GL(m)-dimer
title The boundary algebra of a GL(m)-dimer
title_full The boundary algebra of a GL(m)-dimer
title_fullStr The boundary algebra of a GL(m)-dimer
title_full_unstemmed The boundary algebra of a GL(m)-dimer
title_short The boundary algebra of a GL(m)-dimer
title_sort boundary algebra of a gl(m)-dimer
topic Original Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7971164/
https://www.ncbi.nlm.nih.gov/pubmed/33814645
http://dx.doi.org/10.1080/00927872.2020.1721515
work_keys_str_mv AT andritschlukas theboundaryalgebraofaglmdimer
AT andritschlukas boundaryalgebraofaglmdimer

Ejemplares similares