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On PBW-Deformations of Braided Exterior Algebras

dc.contributor.authorMatassa, Marco
dc.date.accessioned2019-10-07T13:34:05Z
dc.date.accessioned2019-10-16T13:29:06Z
dc.date.available2019-10-07T13:34:05Z
dc.date.available2019-10-16T13:29:06Z
dc.date.issued2018-11-26
dc.identifier.citationMatassa M. On PBW-Deformations of Braided Exterior Algebras. Advances in Applied Clifford Algebras. 2019en
dc.identifier.issn0188-7009
dc.identifier.issn0188-7009
dc.identifier.issn1661-4909
dc.identifier.urihttps://hdl.handle.net/10642/7691
dc.description.abstractWe classify PBW-deformations of quadratic-constant type of certain quantizations of exterior algebras. These correspond to the fundamental modules of quantum slN, their duals, and their direct sums. We show that the first two cases do not admit any deformation, while in the third case we obtain an essentially unique algebra with good properties. We compare this algebra with other quantum Clifford algebras appearing in the literature.en
dc.description.sponsorship(Partially) supported by the FWO Grant G.0251.15N.en
dc.language.isoenen
dc.publisherSpringer (part of Springer Nature)en
dc.relation.ispartofseriesAdvances in Applied Clifford Algebras;29:8
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in Advances in Applied Clifford Algebras. The final authenticated version is available online at: https://dx.doi.org/10.1007/s00006-018-0926-zen
dc.subjectExterior algebrasen
dc.subjectClifford algebrasen
dc.subjectPoincaré Birkhoff Witt Deformationsen
dc.titleOn PBW-Deformations of Braided Exterior Algebrasen
dc.typeJournal article
dc.typeJournal articleen
dc.typePeer revieweden
dc.date.updated2019-10-07T13:34:05Z
dc.description.versionacceptedVersionen
dc.identifier.doihttps://dx.doi.org/10.1007/s00006-018-0926-z
dc.identifier.cristin1653862
dc.source.journalAdvances in Applied Clifford Algebras


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