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math.RT2024
Derived equivalence of algebras induced by their trivial extensions
Valentine Soto
The bounded derived category of a finite dimensional algebra of finite global dimension is equivalent the stable category of -graded modules over its trivial extension…
math.RT2023
Generalized Kauer moves and derived equivalences of Brauer graph algebras
Valentine Soto
Kauer moves are local moves of an edge in a Brauer graph that yield derived equivalences between Brauer graph algebras [Kau98]. These derived equivalences may be interpreted in ter…