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math.RT2021
Support -tilting and 2-torsion pairs
Jordan McMahon
The theory of -tilting was introduced by Adachi--Iyama--Reiten; one of the main results is a bijection between support -tilting modules and torsion classes. We are able to ge…
math.RT2021
Boundary Idempotents and -precluster-tilting categories
Jordan McMahon
The homological theory of Auslander-Platzeck-Todorov on idempotent ideals laid much of the groundwork for higher Auslander-Reiten theory, providing the key technical lemmas for bot…