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dc.contributor.author
Chaparro Acosta, Cristian Arturo  
dc.contributor.author
Schroll, Sibylle  
dc.contributor.author
Solotar, Andrea Leonor  
dc.date.available
2021-10-19T16:20:35Z  
dc.date.issued
2020-09  
dc.identifier.citation
Chaparro Acosta, Cristian Arturo; Schroll, Sibylle; Solotar, Andrea Leonor; On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 558; 9-2020; 293-326  
dc.identifier.issn
0021-8693  
dc.identifier.uri
http://hdl.handle.net/11336/144305  
dc.description.abstract
In this paper we determine the first Hochschild homology and cohomology with different coefficients for gentle algebras and we give a geometrical interpretation of these (co)homologies using the ribbon graph of a gentle algebra as defined in [32]. We give an explicit description of the Lie algebra structure of the first Hochschild cohomology of gentle and Brauer graph algebras (with multiplicity one) based on trivial extensions of gentle algebras and we show how the Hochschild cohomology is encoded in the Brauer graph. In particular, we show that except in one low-dimensional case, the resulting Lie algebras are all solvable.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BRAUER GRAPH ALGEBRAS  
dc.subject
GERSTENHABER BRACKETS  
dc.subject
HOCHSCHILD COHOMOLOGY  
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LIE ALGEBRAS  
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TRIVIAL EXTENSIONS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph 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
2021-09-07T18:44:05Z  
dc.journal.volume
558  
dc.journal.pagination
293-326  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Chaparro Acosta, Cristian Arturo. 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.description.fil
Fil: Schroll, Sibylle. University of Leicester; Reino Unido  
dc.description.fil
Fil: Solotar, Andrea Leonor. 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 Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021869320300600  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.jalgebra.2020.02.003