Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer)
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 L...
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| Format: | Article |
| Language: | English |
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Springer International Publishing
2019
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| Online Access: | https://hdl.handle.net/1721.1/122944 |
| _version_ | 1826213823940395008 |
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| author | Etingof, Pavel I |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Etingof, Pavel I |
| author_sort | Etingof, Pavel I |
| collection | MIT |
| description | 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 |
| first_indexed | 2024-09-23T15:55:24Z |
| format | Article |
| id | mit-1721.1/122944 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T15:55:24Z |
| publishDate | 2019 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1229442022-10-02T05:05:50Z Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) Etingof, Pavel I Massachusetts Institute of Technology. Department of Mathematics 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 2019-11-14T20:48:38Z 2019-11-14T20:48:38Z 2017-09 2019-11-12T17:05:02Z Article http://purl.org/eprint/type/JournalArticle 2199-6792 2199-6806 https://hdl.handle.net/1721.1/122944 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 en http://dx.doi.org/10.1007/s40598-017-0069-7 Arnold Mathematical Journal Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer International Publishing arXiv |
| spellingShingle | Etingof, Pavel I Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) |
| title | Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) |
| title_full | Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) |
| title_fullStr | Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) |
| title_full_unstemmed | Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) |
| title_short | Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer) |
| title_sort | proof of the broue malle rouquier conjecture in characteristic zero after i losev and i marin g pfeiffer |
| url | https://hdl.handle.net/1721.1/122944 |
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