Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer)
Name
1606.08456.pdf
Description
Submitted version
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117.63 KB
Format
Adobe PDF
Checksum (MD5)
1281cd3871062059d23cdb9db74a83f2
Author(s)
Etingof, Pavel I
Date Issued
September 2017
Journal
Arnold Mathematical Journal
Publisher
Springer International Publishing
Citation
Etingof, Pavel. "Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer)." Arnold Mathematical Journal 3,3 (September 2017): 445. © Institute for Mathematical Sciences (IMS), Stony Brook University, NY 2017
Version
Original manuscript
Abstract
We explain a proof of the Broué–Malle–Rouquier conjecture on Hecke algebras of complex reflection groups, stating that the Hecke algebra of a finite complex reflection group W is free of rank |W| over the algebra of parameters, over a field of characteristic zero. This is based on previous work of Losev, Marin– Pfeiffer, and Rains and the author. Keyword: Hecke algebra ; Complex reflection group ; Broué–Malle–Rouquier conjecture
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s40598-017-0069-7
