Work

Perfect Isometries Between Blocks of Complex Reflection Groups

Year: 2018

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1808.02869

Authors: Brunat, Olivier, Gramain, Jean-Baptiste

Institutions: Institut de Mathématiques de Jussieu-Paris Rive Gauche, Université Paris Diderot, University of Aberdeen

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Engineering and Physical Sciences Research Council

Awards: Approximations and Behavior of stochastic Individual-based Models, G3609865471, G5420063140, Combinatorial Representation Theory

OpenAlex ID: W2950772245

Cites: 4

Cited by:

Related to: 20