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dc.contributor.author
Rigal, Laurent
dc.contributor.author
Zadunaisky Bustillos, Pablo Mauricio
dc.date.available
2020-10-27T16:23:44Z
dc.date.issued
2015-08
dc.identifier.citation
Rigal, Laurent; Zadunaisky Bustillos, Pablo Mauricio; Twisted Semigroup Algebras; Springer; Algebras and Representation Theory; 18; 5; 8-2015; 1155-1186
dc.identifier.issn
1386-923X
dc.identifier.uri
http://hdl.handle.net/11336/116933
dc.description.abstract
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec k[S] is an affine toric variety over k, and we refer to the twists of k[S] as quantum affine toric varieties. We show that every quantum affine toric variety has a “dense quantum torus”, in the sense that it has a localization isomorphic to a quantum torus. We study quantum affine toric varieties and show that many geometric regularity properties of the original toric variety survive the deformation process.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Noncommutative geometry
dc.subject
Artin-Schelter regularity
dc.subject
2-cocycle twists
dc.subject
Zhang twists
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Twisted Semigroup Algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-09-01T19:10:54Z
dc.journal.volume
18
dc.journal.number
5
dc.journal.pagination
1155-1186
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Rigal, Laurent. Université de Saint-Etienne; Argentina
dc.description.fil
Fil: Zadunaisky Bustillos, Pablo Mauricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Algebras and Representation Theory
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10468-015-9525-z
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007%2Fs10468-015-9525-z
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