Commit 2024-11-11 09:44 f3098a35
View on Github →feat: Pontryagin duality for finite abelian groups (#15999)
Prove Pontryagin duality in case of finite abelian groups.
This states that any finite abelian group is canonically isomorphic to its double dual (the space of complex-valued characters of its space of complex-valued characters).
We first prove it for ZMod n
and then extend to all finite abelian groups using the Structure Theorem.
From LeanAPAP
Co-authored-by Bhavik Mehta bhavikmehta8@gmail.com