arXiv subjects

D. -S. Zhong

Publications and source records attributed to D. -S. Zhong.

2 recordsLinked to original sources

arXiv2008

On the Existence of Global Bisections of Lie Groupoids

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 close as possible to a prescribed curve. The existence of bisections through more than one prescribed points is also discussed. We give some interesting applications of these results.

math.DG↗

arXiv2008

Lie Rinehart Bialgebras for Crossed Products

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 products induced by actions of Lie algebras on K[t].

math.AC↗