On extensions for gentle algebras

Abstract

We give a complete description of a basis of the extension spaces between indecomposable string and quasi-simple band modules in the module category of a gentle algebra.

34 pages, updated statements on middle terms of extensions involving band modules

References in corpus (3)

• A geometric model for the derived category of gentle algebras
• Non-kissing complexes and tau-tilting for gentle algebras
• Gentle $m$-Calabi-Yau tilted algebras

Cited by in corpus (6)

• A geometric model for the derived category of gentle algebras
• Non-kissing complexes and tau-tilting for gentle algebras
• Almost gentle algebras and their trivial extensions
• Mapping cones in the bounded derived category of a gentle algebra
• Lattice bijections for string modules, snake graphs and the weak Bruhat order
• Classification of cosilting modules in type $\tilde{A}$