English

Perfect Isometries Between Blocks of Complex Reflection Groups

Representation Theory 2018-08-09 v1

Abstract

In this paper, we prove that, given any integers dd, ee, rr and rr', and a prime pp not dividing dede, any two blocks of the complex reflection groups G(de,e,r)G(de,e,r) and G(de,e,r)G(de,e,r') with the same pp-weight are perfectly isometric.

Cite

@article{arxiv.1808.02869,
  title  = {Perfect Isometries Between Blocks of Complex Reflection Groups},
  author = {Olivier Brunat and Jean-Baptiste Gramain},
  journal= {arXiv preprint arXiv:1808.02869},
  year   = {2018}
}
R2 v1 2026-06-23T03:28:09.095Z