τ-tilting modules over one-point extensions by a projective module

2017/05/20 by Suarez, Pamela
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1705.07233

Abstract

Let A be the one point extension of an algebra B by a projective B-module. We prove that the extension of a given support τ-tilting B-module is a support τ-tilting A-module; and, conversely, the restriction of a given support τ-tilting A-module is a support τ-tilting B-module. Moreover, we prove that there exists a full embedding of quivers between the corresponding poset of support τ-tilting modules.

Related

• Support τ-tilting modules over one-point extensions
• τ-Tilting modules over one-point extensions by a simple module at a source point
• Extending (τ-)tilting subcategories and (co)silting modules
• A note on the Hasse quiver of τ-tilting modules
• Taking tilting modules from the poset of support tilting modules