# Generalised BGP reflection functors via the Grothendieck construction

## TL;DR

This paper generalizes classical BGP reflection functors using the Grothendieck construction, providing a new categorical framework inspired by Ladkani's work.

## Contribution

It introduces a novel categorical approach to generalize BGP reflection functors through the Grothendieck construction, extending classical theory.

## Key findings

- New categorical construction of reflection functors
- Extension of classical BGP reflection functors
- Framework inspired by Ladkani's work

## Abstract

Inspired by work of Ladkani, we explain how to construct generalisations of the classical reflection functors of Bern\v{s}te\u{\i}n, Gel'fand and Ponomarev by means of the Grothendieck construction.