Explicit HRS-tilting
Copyright policy )Explicit HRS-tilting
For an abelian category A equipped with a torsion pair, we give an explicit description for the tilted abelian category B introduced in [HaReSm], and also for the categories Ch(B) and \mathcal{D}(B). We also describe the DG structure on Ch(B). As a consequence, we find new proofs of certain results of [ibid.]. The main ingredient is the category of decorated complexes.
- Florida Southern College United States
tilting, stability conditions, Torsion theories, radicals, decorated complexes, K-Theory and Homology (math.KT), Chain complexes (category-theoretic aspects), dg categories, Torsion theory for commutative rings, Derived categories, triangulated categories, Abelian categories, Grothendieck categories, Mathematics - K-Theory and Homology, FOS: Mathematics, Representations of quivers and partially ordered sets, Representation Theory (math.RT), Mathematics - Representation Theory, Representations of associative Artinian rings
tilting, stability conditions, Torsion theories, radicals, decorated complexes, K-Theory and Homology (math.KT), Chain complexes (category-theoretic aspects), dg categories, Torsion theory for commutative rings, Derived categories, triangulated categories, Abelian categories, Grothendieck categories, Mathematics - K-Theory and Homology, FOS: Mathematics, Representations of quivers and partially ordered sets, Representation Theory (math.RT), Mathematics - Representation Theory, Representations of associative Artinian rings
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