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.

Publié dans:
Indiana University Mathematics Journal, 60, 319-366
Année
2011
ISSN:
0022-2518
Mots-clefs:
Laboratoires:

Notice créée le 2012-06-25, modifiée le 2018-12-03

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