Averaging t-structures and extension closure of aisles

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Nathan Broomhead
  • David Pauksztello
  • David Ploog

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Details

OriginalspracheEnglisch
Seiten (von - bis)51-78
Seitenumfang28
FachzeitschriftJournal of Algebra
Jahrgang394
Frühes Online-Datum31 Juli 2013
PublikationsstatusVeröffentlicht - 15 Nov. 2013

Abstract

We ask when a finite set of t-structures in a triangulated category can be 'averaged' into one t-structure or, equivalently, when the extension closure of a finite set of aisles is again an aisle. There is a straightforward, positive answer for a (possibly infinite) set of compactly generated t-structures in a big triangulated category. For piecewise tame hereditary categories, we give a criterion for when averaging is possible, and an algorithm that computes truncation triangles in this case. A finite group action on a triangulated category gives a natural way of producing a finite set of t-structures out of a given one. If averaging is possible, there is an induced t-structure on the equivariant triangulated category.

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Averaging t-structures and extension closure of aisles. / Broomhead, Nathan; Pauksztello, David; Ploog, David.
in: Journal of Algebra, Jahrgang 394, 15.11.2013, S. 51-78.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Broomhead N, Pauksztello D, Ploog D. Averaging t-structures and extension closure of aisles. Journal of Algebra. 2013 Nov 15;394:51-78. Epub 2013 Jul 31. doi: 10.48550/arXiv.1208.5691, 10.1016/j.jalgebra.2013.07.007
Broomhead, Nathan ; Pauksztello, David ; Ploog, David. / Averaging t-structures and extension closure of aisles. in: Journal of Algebra. 2013 ; Jahrgang 394. S. 51-78.
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