scholarly journals The quantum duality principle

2002 ◽  
Vol 52 (3) ◽  
pp. 809-834 ◽  
Author(s):  
Fabio Gavarini
Keyword(s):  
Duality Principle ◽  
Quantum Duality

scholarly journals A quantum duality principle for coisotropic subgroups and Poisson quotients

2006 ◽  
Vol 199 (1) ◽  
pp. 104-135 ◽  
Author(s):  
Nicola Ciccoli ◽  
Fabio Gavarini
Keyword(s):  
Duality Principle ◽  
Quantum Duality

Quantum homogeneous superspaces and quantum duality principle

2015 ◽  
Vol 106 ◽  
pp. 59-72 ◽  
Author(s):  
Rita Fioresi
Keyword(s):  
Duality Principle ◽  
Quantum Duality

Contractions in Deformed Lie-Poisson Structures

1997 ◽  
Vol 12 (01) ◽  
pp. 225-230 ◽  
Author(s):  
V. D. Lyakhovsky ◽  
A. M. Mirolyubov
Keyword(s):  
Significant Role ◽  
Deformation Quantization ◽  
Duality Principle ◽  
Poisson Structures ◽  
Lie Bialgebras ◽  
First Order ◽  
Natural Analogues ◽  
Explicit Realization ◽  
Quantum Duality ◽  
Initial Object

The geometrical description of deformation quantization based on quantum duality principle makes it possible to introduce deformed Lie-Poisson structures — natural analogues of classical Lie bialgebras for the case when the initial object is a quantized group. Special types of contractions — the so called first order contractions — play the significant role in the explicit realization of deformed Lie-Poisson structures. Such contractions can be naturally applied to the Drinfeld double. In the case of (u(1) ⊕ sl(2))q we investigate explicitly the deformed structures induced by the first order contractions.

On frames, dual frames, and the duality principle

2015 ◽  
Vol 45 (1) ◽  
pp. 183-200 ◽  
Author(s):  
Diana T. Stoeva
Keyword(s):  
Duality Principle ◽  
Dual Frames
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