A NEW APPROACH IN BICOVARIANT DIFFERENTIAL CALCULUS ON SUq(2)

Author:

BENTALHA Z.1,TAHIRI M.2

Affiliation:

1. Laboratoire de Physique Théorique, Université de Tlemcen, Tlemcen, Algeria

2. Laboratoire de Physique Théorique, Université d'Oran Es-senia, 31100 Oran, Algeria

Abstract

When reviewing the work of Aschieri–Castellani concerning the bicovariant differential calculus on GLq(2), we remarked that a peculiar basis within the space of quantum one-forms over SUq(2) can lead to a new bicovariant differential calculus on SUq(2) easy to handle than those known in the literature. New results have been obtained for the exterior product, the exterior differential, the C-structure constants, the Cartan–Maurer equations, and the q-Lie algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Two-Parameter Quantum (2+1)-Superspace and its Deformed Derivation Algebra as Hopf Superalgebra;Advances in Applied Clifford Algebras;2013-05-26

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3. DIFFERENTIAL CALCULUS ON THE LOGARITHMIC EXTENSION OF THE QUANTUM 3D SPACE AND WEYL ALGEBRA;International Journal of Geometric Methods in Modern Physics;2011-12

4. ON QUANTUM BRST COHOMOLOGY;International Journal of Geometric Methods in Modern Physics;2009-11

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