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dc.contributor.author
Heckenberger, I.  
dc.contributor.author
Vendramin, Claudio Leandro  
dc.date.available
2021-07-15T15:30:57Z  
dc.date.issued
2018-09-26  
dc.identifier.citation
Heckenberger, I.; Vendramin, Claudio Leandro; PBW deformations of a Fomin–Kirillov Algebra and other examples; Springer; Algebras and Representation Theory; 22; 6; 26-9-2018; 1513-1532  
dc.identifier.issn
1386-923X  
dc.identifier.uri
http://hdl.handle.net/11336/136213  
dc.description.abstract
We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras. One of our examples is the Fomin–Kirillov algebra E3. Another one appeared in a paper of García Iglesias and Vay. As a consequence of our methods, we determine when the deformations are semisimple and we are able to produce PBW bases and polynomial identities for these deformations.  
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
CLIFFORD ALGEBRA  
dc.subject
FOMIN–KIRILLOV ALGEBRA  
dc.subject
HOPF ALGEBRA  
dc.subject
NICHOLS ALGEBRA  
dc.subject
PBW DEFORMATION  
dc.subject
POLYNOMIAL IDENTITY  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
PBW deformations of a Fomin–Kirillov Algebra and other examples  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-11-27T18:10:13Z  
dc.journal.volume
22  
dc.journal.number
6  
dc.journal.pagination
1513-1532  
dc.journal.pais
Alemania  
dc.description.fil
Fil: Heckenberger, I.. Philipps-Universität Marburg; Alemania  
dc.description.fil
Fil: Vendramin, Claudio Leandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. 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/doi/http://dx.doi.org/10.1007/s10468-018-9830-4  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-018-9830-4  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1703.10632  

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