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Bicovariant differential calculus on the superspace ${\mathbb R}_q(1|2)$
Published 19 Sep 2015 in math.QA | (1509.05876v2)
Abstract: Super Hopf algebra structure on the function algebra on the extended quantum superspace has been defined. It is given a bicovariant differential calculus on the superspace. The corresponding (quantum) Lie superalgebra of vector fields and its Hopf algebra structure are obtained. The dual Hopf algebra is explicitly constructed. A new quantum supergroup that is the symmetry group of the differential calculus is found.
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