Generalised BGP reflection functors via the Grothendieck construction

Abstract

Inspired by work of Ladkani, we explain how to construct generalisations of the classical reflection functors of Bernšte\uın, Gel'fand and Ponomarev by means of the Grothendieck construction.

arXiv comment8 pages; v2: minor edits

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Cited by in corpus (3)

• Higher symmetries in abstract stable homotopy theories
• Derived equivalences of upper-triangular ring spectra via lax limits
• Higher Auslander algebras of type $\mathbb{A}$ and the higher Waldhausen $S$-constructions