H. Lang

activity

20182021

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math.DG2019

Affine structures on Lie groupoids

Honglei Lang, Zhangju Liu, Yunhe Sheng

Affine structures on a Lie groupoid, including affine $k$ -vector fields, $k$ -forms and $(p, q)$ -tensors are studied. We show that the space of affine structures is a 2-vector space…

math.DG2018

Coadjoint orbits of Lie groupoids

Honglei Lang, Zhangju Liu

For a Lie groupoid $G$ with Lie algebroid $A$ , we realize the symplectic leaves of the Lie-Poisson structure on $A^{*}$ as orbits of the affine coadjoint action of the Lie…