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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…