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math.QA2019
On Lie Bialgebroid Crossed Modules
Honglei Lang, Yu Qiao, Yanbin Yin
We study Lie bialgebroid crossed modules which are pairs of Lie algebroid crossed modules in duality that canonically give rise to Lie bialgebroids. A one-one correspondence betwee…
math.DG2019
Affine structures on Lie groupoids
Honglei Lang, Zhangju Liu, Yunhe Sheng
Affine structures on a Lie groupoid, including affine -vector fields, -forms and -tensors are studied. We show that the space of affine structures is a 2-vector space…