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Discreteness of silting objects and t-structures in triangulated categories

  • Published:2018-07-20 Issue:1 Volume:118 Page:1-42
  • ISSN:0024-6115
  • Container-title:Proceedings of the London Mathematical Society
  • language:en
  • Short-container-title:Proc. London Math. Soc.

Author:

Adachi Takahide1,Mizuno Yuya2,Yang Dong3

Affiliation:

1. Graduate school of Science; Osaka Prefecture University; 1-1 Gakuen-cho, Nakaku, Sakai Osaka 599-8531 Japan

2. Faculty of Science; Department of Mathematics; Shizuoka University; 836 Ohya, Suruga-ku Shizuoka 422-8529 Japan

3. Department of Mathematics; Nanjing University; 22 Hankou Road Nanjing 210093 P.R. China

Funder

Japan Society for the Promotion of Science

Publisher

Wiley

Subject

General Mathematics

Reference70 articles.

1. T. Adachi T. Aihara A. Chan Classification of two-term tilting complexes over Brauer graph algebras Math. Z

2. τ-tilting theory;Adachi;Compos. Math.,2014

3. Tilting-connected symmetric algebras;Aihara;Algebr. Represent. Theory,2013

4. Silting mutation in triangulated categories;Aihara;J. Lond. Math. Soc.,2012

5. Classifying tilting complexes over preprojective algebras of Dynkin type;Aihara;Algebra Number Theory,2017

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1. Categorical entropy, (co-)t-structures and ST-triples;Mathematische Zeitschrift;2023-06-06

2. The ST correspondence for proper non-positive dg algebras;Communications in Algebra;2023-06-04

3. Categorification of ice quiver mutation;Mathematische Zeitschrift;2023-04-15

4. Reductions of triangulated categories and simple‐minded collections;Journal of the London Mathematical Society;2023-02-11

5. A differential graded approach to the silting theorem;Journal of Pure and Applied Algebra;2023-02
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