Support $\tau $-tilting modules and recollements

Abstract

Let (mod Λ , mod Λ, mod Λ ) be a recollement of abelian categories for artin algebras Λ , Λ and Λ . Under certain conditions, we present an explicit construction of gluing of (support) τ -tilting modules in mod Λ with respect to (support) τ -tilting modules in mod Λ and mod Λ respectively. On the other hand, we study the construction of (support) τ -tilting modules in mod Λ and mod Λ obtained from (support) τ -tilting modules in mod Λ.