TY - JOUR

T1 - Survey on perfect isometries

AU - Sambale, Benjamin

N1 - Funding Information: I like to thank Michel Broué for answering some questions during a conference in Banff. Moreover, I appreciate valuable comments by anonymous referees. Parts of this work were written while I was in residence at the Mathematical Sciences Research Institute in Berkeley (Spring 2018) with the kind support by the National Science Foundation (grant DMS-1440140). This work is also supported by the German Research Foundation (projects SA 2864/1-1 and SA 2864/3-1).

PY - 2020

Y1 - 2020

N2 - This paper is an introduction and a survey to the concept of perfect isometries which was first introduced by Michel Broué in 1990. Our main aim is to provide proofs of numerous results scattered in the literature. On the other hand, we make some observations which did not appear anywhere before.

AB - This paper is an introduction and a survey to the concept of perfect isometries which was first introduced by Michel Broué in 1990. Our main aim is to provide proofs of numerous results scattered in the literature. On the other hand, we make some observations which did not appear anywhere before.

KW - Broué's conjecture

KW - Isotypies

KW - Perfect isometries

UR - http://www.scopus.com/inward/record.url?scp=85096503177&partnerID=8YFLogxK

U2 - 10.48550/arXiv.1910.05928

DO - 10.48550/arXiv.1910.05928

M3 - Survey paper

AN - SCOPUS:85096503177

VL - 50

SP - 1517

EP - 1539

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

SN - 0035-7596

IS - 5

ER -