Abstract
For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we consider the quiver \({\overrightarrow{\mathcal K}\!_{\Lambda}}\) of tilting modules and the subquivers of \({\overrightarrow{\mathcal K}\!_{\Lambda}}\) which are links \({\overrightarrow{{\text{lk}}}(M)}\) to partial tilting modules M and show that \({\overrightarrow{{\text{lk}}}(M)}\) is connected if M is faithful.
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Dedicated to Otto Kerner on the occasion of his 65th birthday.
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Happel, D., Unger, L. Links of Faithful Partial Tilting Modules. Algebr Represent Theor 13, 637–652 (2010). https://doi.org/10.1007/s10468-009-9164-3
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DOI: https://doi.org/10.1007/s10468-009-9164-3