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math.RA2026
Two-sided tilting complexes over symmetric algebras sending simple modules to shifts of modules
Shuji Fujino, Yuta Kozakai
For a tilting complex over a finite-dimensional symmetric algebra over an algebraically closed field, whose distinct graded components have no indecomposable projective direct summ…
math.RA2024
Two-sided tilting complexes for generalized Brauer tree algebras
Shuji Fujino, Yuta Kozakai, Kohei Takamura
We explicitly construct two-sided tilting complexes corresponding to Membrillo-Hernández's tree-to-star tilting complexes for generalized Brauer tree algebras.