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arxiv: 1311.0504 · v1 · pith:RISKWEPUnew · submitted 2013-11-03 · 🧮 math.RT

Rigidity of tilting complexes and derived equivalence for self-injective algebras

Salah Al-Nofayee , Jeremy Rickard This is my paper
classification 🧮 math.RT
keywords algebrasclosedcomplexesderivedequivalencerigidityself-injectivetilting
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We give a proof, based on the rigidity of tilting complexes, that the class of self-injective finite-dimensional algebras over an algebraically closed field is closed under derived equivalence.

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  1. Invariants of derived equivalences for admissible fractional Brauer graph algebras

    math.RT 2026-04 unverdicted novelty 5.0

    Admissible fractional Brauer graph algebras admit easily checkable combinatorial invariants for derived equivalences and can be realized as repetitive algebras and r-fold trivial extensions of gentle algebras.