English

The b-functions of semi-invariants of quivers

Representation Theory 2018-02-26 v3

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.

Keywords

Cite

@article{arxiv.1310.3691,
  title  = {The b-functions of semi-invariants of quivers},
  author = {András Cristian Lőrincz},
  journal= {arXiv preprint arXiv:1310.3691},
  year   = {2018}
}

Comments

Original version split into two distinct parts. For the other part, cf. arXiv:1802.07760