An extriangulated functor from (n+1)-term subcategories to (n+1)-term complexes is constructed, with equivalent conditions for fullness yielding an extriangle equivalence and a mutation-compatible silting bijection.
0-Auslander correspondence
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
In this short note we prove an analogue of Auslander correspondence for exact dg categories whose $H^0$-category is $0$-Auslander in the sense of Gorsky--Nakaoka--Palu.
fields
math.RT 3years
2026 3representative citing papers
In higher Auslander algebras of type A, the d-almost positive subcategory is the d-exangulated quotient of the d-exact subcategory of the module category and the (d+2)-angulated cluster category by ideals from injective-to-projective morphisms.
An algebraic d-Auslander extriangulated category satisfying a vanishing condition admits an extriangulated ideal quotient equivalent to a truncated homotopy category of complexes.
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From $(n+1)$-term subcategories to $(n+1)$-term complexes
An extriangulated functor from (n+1)-term subcategories to (n+1)-term complexes is constructed, with equivalent conditions for fullness yielding an extriangle equivalence and a mutation-compatible silting bijection.
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Relations between categorifications of higher-dimensional type $A$ cluster combinatorics
In higher Auslander algebras of type A, the d-almost positive subcategory is the d-exangulated quotient of the d-exact subcategory of the module category and the (d+2)-angulated cluster category by ideals from injective-to-projective morphisms.
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Extriangulated ideal quotients and $d$-Auslander categories
An algebraic d-Auslander extriangulated category satisfying a vanishing condition admits an extriangulated ideal quotient equivalent to a truncated homotopy category of complexes.