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Endomorphism algebras of silting complexes

Lidia Angeleri Hügel, Marcelo Lanzilotta, Jifen Liu, Sonia Trepode

Abstract

We consider endomorphism algebras of $n$-term silting complexes in derived categories of hereditary algebras, and we show that the module category of such an endomorphism algebra has a separated $n$-section. For $n=3$ we obtain a trisection in the sense of [2].

Endomorphism algebras of silting complexes

Abstract

We consider endomorphism algebras of -term silting complexes in derived categories of hereditary algebras, and we show that the module category of such an endomorphism algebra has a separated -section. For we obtain a trisection in the sense of [2].

Paper Structure

This paper contains 12 sections, 56 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Notation
  4. Functorially finite subcategories
  5. Suspended subcategories and t-structures
  6. Silting complexes
  7. Ring epimorphisms
  8. $n$-term silting complexes over hereditary algebras
  9. The t-structure induced by a silting complex
  10. The heart of the t-structure
  11. The $n$-section of the heart
  12. Examples

Theorems & Definitions (6)

  • proof
  • proof
  • proof
  • proof
  • proof
  • proof