Details
| Original language | English |
|---|---|
| Pages (from-to) | 1517-1539 |
| Number of pages | 23 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 50 |
| Issue number | 5 |
| Publication status | Published - 2020 |
Abstract
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.
Keywords
- Broué's conjecture, Isotypies, Perfect isometries
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Rocky Mountain Journal of Mathematics, Vol. 50, No. 5, 2020, p. 1517-1539.
Research output: Contribution to journal › Survey paper › Research › peer review
}
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 -