3 papers
math.RT2024
Tilting mutations as generalized Kauer moves for (skew) Brauer graph algebras with multiplicity
Valentine Soto
Generalized Kauer moves are local moves of multiple edges in a Brauer graph that yield derived equivalences between Brauer graph algebras of multiplicity identically 1. Moreover, t…
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…