14 citations · 34 across the 13 of their papers we have counts for
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math.DG2009
Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfeld
Madeleine Jotz
The notions of \emph{Poisson Lie group} and \emph{Poisson homogeneous space} are extended to the Dirac category. The theorem of Drinfeld (\cite{Drinfeld93}) on the one-to-one co…
math.DG2009★ 1 cited
Invariant generators for generalized distributions
Madeleine Jotz, Tudor S. Ratiu
The existence of invariant generators for distributions satisfying a compatibility condition with the symmetry algebra is proved.
math.DG2009★ 2 cited
Singular reduction of Dirac structures
Madeleine Jotz, Tudor S. Ratiu, Jedrzej Sniatycki
The regular reduction of a Dirac manifold acted upon freely and properly by a Lie group is generalized to a nonfree action. For this, several facts about -invariant vector field…