| Abstract: |
| The double centralizer property is one of the most fundamental principles in Lie theory and representation theory. It underpins many classical results such as Schur-Weyl duality, which connects the representations of general linear Lie algebras and symmetric groups via mutual centralization on tensor spaces. I will introduce a ring theoretic approach (by Auslander and Solberg, K{\o}nig, Slung{\aa}rd and Xi, etc) to the proof of the double centralizer property in many examples, and I will talk about some of their generalizations and applications. |
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