Bicovariant differential calculus on the quantum superspace ℝq(1|2)-Reference-Cited by-同舟云学术

Bicovariant differential calculus on the quantum superspace ℝq(1|2)

Published:2016-08-22 Issue:09 Volume:15 Page:1650172
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Celik Salih¹

Affiliation:

1. Department of Mathematics, Yildiz Technical University, Davutpasa Campus, Esenler, Istanbul 34210, Turkey

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816501723

Reference9 articles.

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