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research article
Dirac Lie Groups, Dirac Homogeneous Spaces and the Theorem of Drinfeld
The notions of Poisson Lie group and Poisson homogeneous space are extended to the Dirac category. The theorem of Drinfeld on the one-to-one correspondence between Poisson homogeneous spaces of a Poisson Lie group and a special class of Lagrangian subalgebras of the Lie bialgebra associated to the Poisson Lie group is proved to hold in this more general setting.
Type
research article
Web of Science ID
WOS:000303134000015
Authors
Publication date
2011
Published in
Volume
60
Start page
319
End page
366
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
June 25, 2012
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