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. © 2015, Springer Science+Business Media Dordrecht.
Registro:
Documento: |
Artículo
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Título: | Twisted Semigroup Algebras |
Autor: | Rigal, L.; Zadunaisky, P. |
Filiación: | Université Paris 13, Sorbonne Paris Cité, LAGA, UMR CNRS 7539, 99 avenue J.-B. Clément, Villetaneuse, 93430, France Universidad de Buenos Aires, FCEN, Departamento de Matemáticas, Ciudad Universitaria, Pabellón I, Buenos Aires, (C1428EGA), Argentina
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Palabras clave: | Artin-Schelter; Artin-Schelter Gorenstein; Cohen-Macaulay; Noncommutative geometry; Quantum toric varieties; Semigroup algebras; Artin-Schelter; Cohen-Macaulay; Gorenstein; Non-commutative geometry; Quantum toric varieties; Semi-group; Algebra |
Año: | 2015
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Volumen: | 18
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Número: | 5
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Página de inicio: | 1155
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Página de fin: | 1186
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DOI: |
http://dx.doi.org/10.1007/s10468-015-9525-z |
Título revista: | Algebras and Representation Theory
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Título revista abreviado: | Algebr Represent Theory
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ISSN: | 1386923X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1386923X_v18_n5_p1155_Rigal |
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Citas:
---------- APA ----------
Rigal, L. & Zadunaisky, P.
(2015)
. Twisted Semigroup Algebras. Algebras and Representation Theory, 18(5), 1155-1186.
http://dx.doi.org/10.1007/s10468-015-9525-z---------- CHICAGO ----------
Rigal, L., Zadunaisky, P.
"Twisted Semigroup Algebras"
. Algebras and Representation Theory 18, no. 5
(2015) : 1155-1186.
http://dx.doi.org/10.1007/s10468-015-9525-z---------- MLA ----------
Rigal, L., Zadunaisky, P.
"Twisted Semigroup Algebras"
. Algebras and Representation Theory, vol. 18, no. 5, 2015, pp. 1155-1186.
http://dx.doi.org/10.1007/s10468-015-9525-z---------- VANCOUVER ----------
Rigal, L., Zadunaisky, P. Twisted Semigroup Algebras. Algebr Represent Theory. 2015;18(5):1155-1186.
http://dx.doi.org/10.1007/s10468-015-9525-z