# The b-functions of semi-invariants of quivers

@inproceedings{LHorincz2013TheBO, title={The b-functions of semi-invariants of quivers}, author={Andr'as Cristian LHorincz}, year={2013} }

In this paper we compute b-functions (or Bernstein-Sato polynomials) of various semiinvariants of quivers. The main tool is an explicit relation for the b-functions between semiinvariants that correspond to each other under reflection functors (or castling transforms). This enables us to compute recursively the b-functions for all Dynkin quivers, and extended Dynkin quivers with prehomogeneous dimension vectors.

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