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arXiv · 1509.05876

Bicovariant differential calculus on the superspace ${\mathbb R}_q(1|2)$

Salih Celik
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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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Salih Celik. 2015-09-19. Bicovariant differential calculus on the superspace ${\mathbb R}_q(1|2)$. https://doi.org/10.1142/s0219498816501723

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