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math.RT2026
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…
math.RT2026
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…
math.RT2026
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…