On PBW-Deformations of Braided Exterior Algebras

Author(s)

Publication date

2018-11-26

Series/Report no

Advances in Applied Clifford Algebras;29:8

Publisher

Springer (part of Springer Nature)

Document type

Abstract

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.

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acceptedVersion

Permanent URL (for citation purposes)

  • https://hdl.handle.net/10642/7691