Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 251-267 |
| Seitenumfang | 17 |
| Fachzeitschrift | Journal of algebra |
| Jahrgang | 311 |
| Ausgabenummer | 1 |
| Publikationsstatus | Veröffentlicht - 1 Mai 2007 |
| Extern publiziert | Ja |
Abstract
We prove that the Fourier matrices for the imprimitive complex reflection groups introduced by Malle in [Gunter Malle, Unipotente Grade imprimitiver komplexer Spiegelungsgruppen, J. Algebra 177 (3) (1995) 768-826] define fusion algebras with not necessarily positive but integer structure constants. Hence they define Z-algebras. As a result, we obtain that all known Fourier matrices belonging to spetses define algebras with integer structure constants.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of algebra, Jahrgang 311, Nr. 1, 01.05.2007, S. 251-267.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Fusion algebras for imprimitive complex reflection groups
AU - Cuntz, Michael
PY - 2007/5/1
Y1 - 2007/5/1
N2 - We prove that the Fourier matrices for the imprimitive complex reflection groups introduced by Malle in [Gunter Malle, Unipotente Grade imprimitiver komplexer Spiegelungsgruppen, J. Algebra 177 (3) (1995) 768-826] define fusion algebras with not necessarily positive but integer structure constants. Hence they define Z-algebras. As a result, we obtain that all known Fourier matrices belonging to spetses define algebras with integer structure constants.
AB - We prove that the Fourier matrices for the imprimitive complex reflection groups introduced by Malle in [Gunter Malle, Unipotente Grade imprimitiver komplexer Spiegelungsgruppen, J. Algebra 177 (3) (1995) 768-826] define fusion algebras with not necessarily positive but integer structure constants. Hence they define Z-algebras. As a result, we obtain that all known Fourier matrices belonging to spetses define algebras with integer structure constants.
KW - Complex reflection groups
KW - Fourier matrix
KW - Representation theory of finite groups
KW - Table algebras
UR - http://www.scopus.com/inward/record.url?scp=33947306427&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2006.10.027
DO - 10.1016/j.jalgebra.2006.10.027
M3 - Article
AN - SCOPUS:33947306427
VL - 311
SP - 251
EP - 267
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
IS - 1
ER -