Perfect Isometries Between Blocks of Complex Reflection Groups

Olivier Brunat (Corresponding Author), Jean-Baptiste Gramain

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Abstract

In this paper, we prove that, given any integers d,e,r and r′, and a prime p not dividing de, any two blocks of the complex reflection groups G(de, e, r) and G(de, e, r′) with the same p-weight are perfectly isometric.
Original languageEnglish
Pages (from-to)260-292
Number of pages33
JournalJournal of Algebra
Volume558
Early online date15 May 2019
DOIs
Publication statusPublished - 15 Sep 2020

Keywords

  • Perfect isometries
  • Complex reflection groups

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