On Poisson homogeneous spaces of Poisson-Lie groups

1993 ◽  
Vol 95 (2) ◽  
pp. 524-525 ◽  
Author(s):  
V. G. Drinfeld
Keyword(s):  
Lie Groups ◽  
Homogeneous Spaces ◽  
Poisson Lie Groups ◽  
Poisson Homogeneous Spaces

scholarly journals Quantum Orbit Method in the Presence of Symmetries

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 724
Author(s):  
Nicola Ciccoli
Keyword(s):  
Lie Groups ◽  
Poisson Structure ◽  
Homogeneous Spaces ◽  
Orbit Method ◽  
C Algebra ◽  
Poisson Lie Groups ◽  
Poisson Homogeneous Spaces

We review some of the main achievements of the orbit method, when applied to Poisson–Lie groups and Poisson homogeneous spaces or spaces with an invariant Poisson structure. We consider C∗-algebra quantization obtained through groupoid techniques, and we try to put the results obtained in algebraic or representation theoretical contexts in relation with groupoid quantization.

scholarly journals AdS Poisson homogeneous spaces and Drinfel’d doubles

2017 ◽  
Vol 50 (39) ◽  
pp. 395202 ◽  
Author(s):  
Angel Ballesteros ◽  
Catherine Meusburger ◽  
Pedro Naranjo
Keyword(s):  
Homogeneous Spaces ◽  
Poisson Homogeneous Spaces ◽  
Drinfel'd Doubles

POISSON–LIE GROUPS AND CLASSICAL W-ALGEBRAS

1992 ◽  
Vol 07 (05) ◽  
pp. 853-876 ◽  
Author(s):  
V. A. FATEEV ◽  
S. L. LUKYANOV
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Quantum Group ◽  
Lie Groups ◽  
Group Structure ◽  
Two Dimensional ◽  
Poisson Structures ◽  
Additional Symmetries ◽  
Conformal Field ◽  
Poisson Lie Groups

This is the first part of a paper studying the quantum group structure of two-dimensional conformal field theory with additional symmetries. We discuss the properties of the Poisson structures possessing classical W-invariance. The Darboux variables for these Poisson structures are constructed.

scholarly journals Dual Lie algebras of Heisenberg Poisson Lie groups

1993 ◽  
Vol 17 (2) ◽  
pp. 429-441
Author(s):  
Kentaro Mikami ◽  
Fumio Narita
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Poisson Lie Groups
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