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math.RA2022
Cohomologies of difference Lie groups and van Est theorem
Jun Jiang, Yunnan Li, Yunhe Sheng
A difference Lie group is a Lie group equipped with a difference operator, equivalently a crossed homomorphism with respect to the adjoint action. In this paper, first we introduce…
math.RA2022
Deformations, cohomologies and integrations of relative difference Lie algebras
Jun Jiang, Yunhe Sheng
In this paper, first using the higher derived brackets, we give the controlling algebra of relative difference Lie algebras, which are also called crossed homomorphisms or differen…