Corpus ID: 73718629

The b-functions of semi-invariants of quivers

  title={The b-functions of semi-invariants of quivers},
  author={Andr'as Cristian LHorincz},
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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Univ Bristol, Dept Math, Bristol BS8 1TH, Avon, England. Limburgs Univ Ctr, Dept WNI, B-3590 Diepenbeek, Belgium.
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