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arXiv · 1310.3691

The b-functions of semi-invariants of quivers

András Cristian Lőrincz
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Abstract

In this paper we compute b-functions (or Bernstein-Sato polynomials) of various semi-invariants of quivers. The main tool is an explicit relation for the b-functions between semi-invariants 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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BibTeXRIS

András Cristian Lőrincz. 2013-10-14. The b-functions of semi-invariants of quivers. https://arxiv.org/abs/1310.3691

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