On PBW-Deformations of Braided Exterior Algebras
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Date
2018-11-26Metadata
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Matassa M. On PBW-Deformations of Braided Exterior Algebras. Advances in Applied Clifford Algebras. 2019 https://dx.doi.org/10.1007/s00006-018-0926-zAbstract
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.