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3 DerivedCategories automatic generated documentation
 3.1 DerivedCategories automatic generated documentation of attributes

3 DerivedCategories automatic generated documentation

3.1 DerivedCategories automatic generated documentation of attributes

3.1-1 HomFunctorToCategoryOfQuiverRepresentations
‣ HomFunctorToCategoryOfQuiverRepresentations( collection )( attribute )

Returns: a functor

The argument is an exceptional collection E which is defined by some full subcategory generated by finite number of objects (E_i)_i in some category C with homomorphism structure. The output is the functor \mathrm{Hom}(\oplus_i E_i,-):C \to \mathrm{mod}\mbox{-}\mathrm{End}(\oplus_i E_i).

3.1-2 HomFunctorToCategoryOfQuiverRepresentationsOnIndecInjectiveObjects
‣ HomFunctorToCategoryOfQuiverRepresentationsOnIndecInjectiveObjects( collection )( attribute )

Returns: a functor

The argument is an exceptional collection E which is defined by some full subcategory generated by finite number of objects (E_i)_i in a category of quiver representations C. The output is the functor \mathrm{Hom}(\oplus_i E_i,-): FullSubcategoryGeneratedByIndecInjectiveObjects(C) \to \mathrm{mod}\mbox{-}\mathrm{End}(\oplus_i E_i).

3.1-3 HomFunctorToCategoryOfQuiverRepresentationsOnInjectiveObjects
‣ HomFunctorToCategoryOfQuiverRepresentationsOnInjectiveObjects( collection )( attribute )

Returns: a functor

The argument is an exceptional collection E which is defined by some full subcategory generated by finite number of objects (E_i)_i in a category of quiver representations C. The output is the functor \mathrm{Hom}(\oplus_i E_i,-):FullSubcategoryGeneratedByInjectiveObjects(C) \to \mathrm{mod}\mbox{-}\mathrm{End}(\oplus_i E_i).

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