Bicovariant Differential Calculus and q-Deformation of Gauge Theory

1993 ◽  
pp. 299-308
Author(s):  
Satoshi Watamura
Keyword(s):  
Gauge Theory ◽  
Differential Calculus ◽  
Bicovariant Differential Calculus

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.

scholarly journals n=3 differential calculus and gauge theory on a reduced quantum plane

2003 ◽  
Vol 44 (10) ◽  
pp. 4784 ◽  
Author(s):  
M. El Baz ◽  
A. El Hassouni ◽  
Y. Hassouni ◽  
E. H. Zakkari
Keyword(s):  
Gauge Theory ◽  
Differential Calculus ◽  
Quantum Plane

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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