Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585124 | Journal of Algebra | 2013 | 28 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Nathan Broomhead, David Pauksztello, David Ploog,