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Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories

Green correspondence and relative projectivity for pairs of adjoint functors between triangulated categories

Auslander and Kleiner proved in 1994 an abstract version of Green correspondence for pairs of adjoint functors between three categories.They produce additive quotients of certain subcategories giving the classical Green correspondence in the special setting of modular representation theory.Carlson, Peng and Wheeler showed in 1998 that Green correspondence in the …