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Paper detail

Green equivalences in equivariant mathematics

We establish Green equivalences for all Mackey 2-functors, without assuming Krull-Schmidt. By running through the examples of Mackey 2-functors, we recover all variants of the Green equivalence and Green correspondence known in representation theory and obtain new ones in several other contexts. Such applications include equivariant stable homotopy theory in topology and equivariant sheaves in geometry.

preprint2021arXivOpen access
Paul BalmerIvo Dell'Ambrogio
math.ATmath.CTmath.RTmath.AG
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Paul BalmerIvo Dell'Ambrogio

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