Mapping spaces and automorphism groups of toric noncommutative spaces

We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the ‘internalized’ automorphism group of a toric noncommutative space and show that its Lie algebra has...

Descripción completa

Detalles Bibliográficos
Autores principales: Barnes, Gwendolyn E., Schenkel, Alexander, Szabo, Richard J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2017
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6961484/
https://www.ncbi.nlm.nih.gov/pubmed/32009723
http://dx.doi.org/10.1007/s11005-017-0957-8
_version_ 1783488003487825920
author Barnes, Gwendolyn E.
Schenkel, Alexander
Szabo, Richard J.
author_facet Barnes, Gwendolyn E.
Schenkel, Alexander
Szabo, Richard J.
author_sort Barnes, Gwendolyn E.
collection PubMed
description We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the ‘internalized’ automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.
format Online
Article
Text
id pubmed-6961484
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer Netherlands
record_format MEDLINE/PubMed
spelling pubmed-69614842020-01-29 Mapping spaces and automorphism groups of toric noncommutative spaces Barnes, Gwendolyn E. Schenkel, Alexander Szabo, Richard J. Lett Math Phys Article We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the ‘internalized’ automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations. Springer Netherlands 2017-04-07 2017 /pmc/articles/PMC6961484/ /pubmed/32009723 http://dx.doi.org/10.1007/s11005-017-0957-8 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Article
Barnes, Gwendolyn E.
Schenkel, Alexander
Szabo, Richard J.
Mapping spaces and automorphism groups of toric noncommutative spaces
title Mapping spaces and automorphism groups of toric noncommutative spaces
title_full Mapping spaces and automorphism groups of toric noncommutative spaces
title_fullStr Mapping spaces and automorphism groups of toric noncommutative spaces
title_full_unstemmed Mapping spaces and automorphism groups of toric noncommutative spaces
title_short Mapping spaces and automorphism groups of toric noncommutative spaces
title_sort mapping spaces and automorphism groups of toric noncommutative spaces
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6961484/
https://www.ncbi.nlm.nih.gov/pubmed/32009723
http://dx.doi.org/10.1007/s11005-017-0957-8
work_keys_str_mv AT barnesgwendolyne mappingspacesandautomorphismgroupsoftoricnoncommutativespaces
AT schenkelalexander mappingspacesandautomorphismgroupsoftoricnoncommutativespaces
AT szaborichardj mappingspacesandautomorphismgroupsoftoricnoncommutativespaces

Ejemplares similares