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We classify PBW-deformations of quadratic-constant type of certain quantizations of exterior algebras. These correspond to the fundamental modules of quantum $$\mathfrak {sl}_N$$slN, their duals, and their direct sums. We show… Click to show full abstract
We classify PBW-deformations of quadratic-constant type of certain quantizations of exterior algebras. These correspond to the fundamental modules of quantum $$\mathfrak {sl}_N$$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.
Keywords:
pbw deformations;
braided exterior;
algebras pbw;
exterior algebras;
deformations braided
Journal Title: Advances in Applied Clifford Algebras
Year Published: 2018
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Journal Title: Advances in Applied Clifford Algebras
Year Published: 2018
Link to full text (if available)
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recommendations!