TY - JOUR
T1 - Triangulated subcategories of extensions, stable t-structures, and triangles of recollements
AU - Jørgensen, Peter
AU - Kato, Kiriko
N1 - Publisher Copyright:
© 2015.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - In a triangulated category T with a pair of triangulated subcategories X and Y, one may consider the subcategory of extensions X*. Y.We give conditions for X*. Y to be triangulated and use them to provide tools for constructing stable t-structures. In particular, we show how to construct so-called triangles of recollements, that is, triples of stable t-structures of the form (X, Y), (Y, Z), (Z, X). We easily recover some triangles of recollements known from the literature.
AB - In a triangulated category T with a pair of triangulated subcategories X and Y, one may consider the subcategory of extensions X*. Y.We give conditions for X*. Y to be triangulated and use them to provide tools for constructing stable t-structures. In particular, we show how to construct so-called triangles of recollements, that is, triples of stable t-structures of the form (X, Y), (Y, Z), (Z, X). We easily recover some triangles of recollements known from the literature.
UR - http://www.scopus.com/inward/record.url?scp=84940448549&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2015.05.029
DO - 10.1016/j.jpaa.2015.05.029
M3 - Journal article
AN - SCOPUS:84940448549
SN - 0022-4049
VL - 219
SP - 5500
EP - 5510
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 12
ER -