We construct two functors from the submodule category of a representation-finite self-
injective algebra Λ to the module category of the stable Auslander algebra of Λ. These …

Auslander and Kleiner proved in 1994 an abstract version of Green correspondence for
pairs of adjoint functors between three categories. They produced additive quotients of …

Module structures of an algebra on a fixed finite dimensional vector space form an algebraic
variety. Isomorphism classes correspond to orbits of the action of an algebraic group on this …

An additive functor F: A→ B between additive categories is objective if any morphism f in A
with F (f)= 0 factors through an object K with F (K)= 0. We consider when a triangle functor in …

Given a triangle functor F: A → BA→ B, the authors introduce the half image hIm F, which is
an additive category closely related to F. If F is full or faithful, then hIm F admits a natural …

Chapter 2: We construct two functors from the submodule category of a self-injective
representation-finite algebra Λ to the module category of the stable Auslander algebra of Λ …

Module structures of an algebra on a fixed finite dimensional vector space form an algebraic
variety. Isomorphism classes correspond to orbits of the action of an algebraic group on this …