PBW deformations of a Fomin–Kirillov Algebra and other examples

dc.creatorHeckenberger, I.
dc.creatorVendramin, Claudio Leandro
dc.date.accessioned2021-07-15T15:30:57Z
dc.date.accessioned2022-10-15T07:19:55Z
dc.date.available2021-07-15T15:30:57Z
dc.date.available2022-10-15T07:19:55Z
dc.date.created2021-07-15T15:30:57Z
dc.date.issued2018-09-26
dc.identifierHeckenberger, 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.identifier1386-923X
dc.identifierhttp://hdl.handle.net/11336/136213
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4359701
dc.description.abstractWe 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.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-018-9830-4
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10468-018-9830-4
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1703.10632
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCLIFFORD ALGEBRA
dc.subjectFOMIN–KIRILLOV ALGEBRA
dc.subjectHOPF ALGEBRA
dc.subjectNICHOLS ALGEBRA
dc.subjectPBW DEFORMATION
dc.subjectPOLYNOMIAL IDENTITY
dc.titlePBW deformations of a Fomin–Kirillov Algebra and other examples
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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