scholarly journals Realization of bicovariant differential calculus on the Lie algebra type noncommutative spaces

2017 ◽  
Vol 58 (7) ◽  
pp. 071701 ◽  
Author(s):  
Stjepan Meljanac ◽  
Saša Krešić–Jurić ◽  
Tea Martinić
Keyword(s):  
Lie Algebra ◽  
Differential Calculus ◽  
Bicovariant Differential Calculus ◽  
Noncommutative Spaces

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

2007 ◽  
Vol 04 (07) ◽  
pp. 1087-1097 ◽  
Author(s):  
Z. BENTALHA ◽  
M. TAHIRI
Keyword(s):  
Lie Algebra ◽  
Differential Calculus ◽  
Exterior Product ◽  
New Approach ◽  
Exterior Differential ◽  
Bicovariant Differential Calculus ◽  
Structure Constants

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.

scholarly journals The Quantum Cartan Algebra Associated to a Bicovariant Differential Calculus

2011 ◽  
Vol 68 (3) ◽  
pp. 319-346
Author(s):  
Lucio S. Cirio ◽  
Chiara Pagani ◽  
Alessandro Zampini
Keyword(s):  
Differential Calculus ◽  
Bicovariant Differential Calculus

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

2016 ◽  
Vol 15 (09) ◽  
pp. 1650172 ◽  
Author(s):  
Salih Celik
Keyword(s):  
Hopf Algebra ◽  
Differential Calculus ◽  
Vector Fields ◽  
Lie Superalgebra ◽  
Function Algebra ◽  
Algebra Structure ◽  
Hopf Algebra Structure ◽  
Bicovariant Differential Calculus ◽  
Quantum Supergroup ◽  
Dual Hopf Algebra

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.

Bicovariant differential calculus on quantum groupsSU q (N) andSO q (N)

1991 ◽  
Vol 142 (3) ◽  
pp. 605-641 ◽  
Author(s):  
Ursula Carow-Watamura ◽  
Michael Schlieker ◽  
Satoshi Watamura ◽  
Wolfgang Weich
Keyword(s):  
Differential Calculus ◽  
Bicovariant Differential Calculus

Bicovariant differential calculus on quantum groups and wave mechanics

1992 ◽  
Vol 42 (12) ◽  
pp. 1279-1288
Author(s):  
Ursula Carow-Watamura ◽  
Satoshi Watamura ◽  
Arthur Hebecker ◽  
Michael Schlieker ◽  
Wolfgang Weich
Keyword(s):  
Quantum Groups ◽  
Differential Calculus ◽  
Wave Mechanics ◽  
Bicovariant Differential Calculus
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