On PBW-Deformations of Braided Exterior Algebras
Journal article, Journal article, Peer reviewed
Accepted version
Permanent lenke
https://hdl.handle.net/10642/7691Utgivelsesdato
2018-11-26Metadata
Vis full innførselSamlinger
Originalversjon
Matassa M. On PBW-Deformations of Braided Exterior Algebras. Advances in Applied Clifford Algebras. 2019 https://dx.doi.org/10.1007/s00006-018-0926-zSammendrag
We 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.