Mostrar el registro sencillo del ítem

dc.contributor.author
Zadunaisky Bustillos, Pablo Mauricio  
dc.date.available
2024-05-07T09:58:06Z  
dc.date.issued
2024-04  
dc.identifier.citation
Zadunaisky Bustillos, Pablo Mauricio; A note on set theoretical solutions of the Yang-Baxter equation with trivial retraction; Elsevier Science; Journal Of Pure And Applied Algebra; 228; 4; 4-2024; 1-19  
dc.identifier.issn
0022-4049  
dc.identifier.uri
http://hdl.handle.net/11336/234668  
dc.description.abstract
We show that every finite non-degenerate set theoretical solution to the YBE whose retraction is a flip linearizes to a twist of the flip solution by roots of unity. This generalizes a result of Gateva-Ivanova and Majid. To prove the result we use a new invariant associated to a solution, its Lie algebra. We show also that a solution retracts to a flip solution if and only if its Lie algebra is abelian.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
LIE ALGEBRAS  
dc.subject
NON COMMUTATIVE ALGEBRAS  
dc.subject
SET THEORETICAL YBE  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A note on set theoretical solutions of the Yang-Baxter equation with trivial retraction  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-05-03T13:58:26Z  
dc.journal.volume
228  
dc.journal.number
4  
dc.journal.pagination
1-19  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
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
Journal Of Pure And Applied Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2023.107527  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0022404923002098?via%3Dihub  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2110.03988