7 papers
Representations of formal Lie groups and Lie pairs
Fulin Chen, Binyong Sun, Chuyun Wang
Formal Lie groups, which generalize Lie groups in differential geometry, are analogous to formal group schemes in algebraic geometry. In a previous paper, we established the basic…
Lie pairs and formal Lie groups
Fulin Chen, Binyong Sun, Chuyun Wang
In a previous paper, we introduce and study formal manifolds, which generalize smooth manifolds. In this paper, we establish the basic theory of formal Lie groups, which are group…
Vector-valued Gelfand-Kazhdan criterion
Fulin Chen, Binyong Sun, Yixiang Weng
The Gelfand-Kazhdan criterion is a fundamental tool for studying multiplicity-one properties of local periods of representations. However, it does not apply to many cases arising i…
Formal manifolds: local structure of morphisms, and formal submanifolds
Fulin Chen, Binyong Sun, Chuyun Wang
This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In three previous pa…
Poincaré's lemma for formal manifolds
Fulin Chen, Binyong Sun, Chuyun Wang
This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In two previous pape…
Function spaces on formal manifolds
Fulin Chen, Binyong Sun, Chuyun Wang
This is a paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In a previous paper,…
Formal manifolds: foundations
Fulin Chen, Binyong Sun, Chuyun Wang
This is the first paper in a series that studies smooth relative Lie algebra homologies and cohomologies based on the theory of formal manifolds and formal Lie groups. In this pape…