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dc.contributor.author
Lebed, Victoria
dc.contributor.author
Vendramin, Claudio Leandro
dc.date.available
2019-11-15T17:22:53Z
dc.date.issued
2016-09
dc.identifier.citation
Lebed, Victoria; Vendramin, Claudio Leandro; Cohomology and extensions of braces; Pacific Journal Mathematics; Pacific Journal Of Mathematics; 284; 1; 9-2016; 191-212
dc.identifier.issn
0030-8730
dc.identifier.uri
http://hdl.handle.net/11336/89065
dc.description.abstract
Braces and linear cycle sets are algebraic structures playing a major role in the classification of involutive set-theoretic solutions to the Yang-Baxter equation. This paper introduces two versions of their (co)homology theories. These theories mix the Harrison (co)homology for the abelian group structure and the (co)homology theory for general cycle sets, developed earlier by the authors. Different classes of brace extensions are completely classified in terms of second cohomology groups.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pacific Journal Mathematics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BRACE
dc.subject
COHOMOLOGY
dc.subject
CYCLE SET
dc.subject
EXTENSION
dc.subject
YANG-BAXTER EQUATION
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Cohomology and extensions of braces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-04T18:38:38Z
dc.journal.volume
284
dc.journal.number
1
dc.journal.pagination
191-212
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Lebed, Victoria. Universite de Nantes; Francia
dc.description.fil
Fil: Vendramin, Claudio Leandro. 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
Pacific Journal Of Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://msp.org/pjm/2016/284-1/pjm-v284-n1-p07-p.pdf
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.2140/pjm.2016.284.191
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1601.01633
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