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On PBW-Deformations of Braided Exterior Algebras

  • Marco MatassaEmail author
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Abstract

We classify PBW-deformations of quadratic-constant type of certain quantizations of exterior algebras. These correspond to the fundamental modules of quantum \(\mathfrak {sl}_N\), 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.

Notes

Acknowledgements

I would like to thank Cristian Vay for useful discussions.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Vakgroep WiskundeVrije Universiteit Brussel (VUB)BrusselsBelgium

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