A simple algebraic proof of the non-transitivity of the braid group action on full exceptional sequences
Abstract
Recently, Chang--Haiden--Schroll shows that the braid group action on full exceptional collections in a triangulated category is not transitive but has infinitely many orbits in general. Their proof is based on a geometric model and the theory of branched coverings such as Birman--Hilden theory. This paper provides a simple algebraic proof of their theorem.
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