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math.DG2007
On the Existence of Global Bisections of Lie Groupoids
Z. Chen, Z. -J. Liu, D. -S. Zhong
We show that every source connected Lie groupoid always has global bisections through any given point. This bisection can be chosen to be the multiplication of some exponentials as…
math.AC2007
Lie Rinehart Bialgebras for Crossed Products
Z. Chen, Z. -J. Liu, D. -S. Zhong
In this paper, we study Lie Rinehart bialgebras, the algebraic generalization of Lie bialgebroids. More precisely, we analyze the structure of Lie Rinehart bialgebras for crossed p…