Work

Intermediate co-t-structures, two-term silting objects,τ-tilting modules, and torsion classes

Year: 2014

Type: article

Abstract: If (A, B) and (A , B ) are co-t-structures of a triangulated category, thenOur main results show that intermediate co-t-structures are in bijection with two-term silting subcategories, and also with support τ -tilting subcategories under some assumptions.We also show that support τ -tilting subcategories are in bijection with certain finitely generated torsion classes.These results generalise work by Adachi, Iyama, and Reiten.

Source: Algebra & Number Theory

DOI: 10.2140/ant.2014.8.2413

Authors: Osamu Iyama, Peter Jørgensen, Dong Yang

Institutions: Nagoya University, Newcastle University, Nanjing University

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

Awards: Diversified research of ring theory and representation theory with derived categories as its center, Non-commutative crepant resolution, Orbifold cohomology and generalization of the McKay correspondence, New development of representation theory of orders, Lattices, automorphic forms, and moduli spaces