Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n)

Neaime G (Accepted)
JOURNAL OF PURE AND APPLIED ALGEBRA 225(2): 106500.

Zeitschriftenaufsatz | Angenommen | Englisch
 
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Abstract / Bemerkung
We establish geodesic normal forms for the general series of complex reflection groups G(de, e, n) by using the presentations of Corran-Picantin and Corran- Lee-Lee of G(e, e, n) and G(de, e, n) for d > 1, respectively. This requires the elaboration of a combinatorial technique in order to explicitly determine minimal word representatives of the elements of G(de, e, n). Using these geodesic normal forms, we construct natural bases for the Hecke algebras associated with the complex reflection groups G(e, e, n) and G(d, 1, n). As an application, we obtain a new proof of the BMR freeness conjecture for these groups. (C) 2020 Elsevier B.V. All rights reserved.
Stichworte
Complex reflection groups; Complex braid groups; Geodesic normal forms; Hecke algebras; BMR freeness conjecture
Erscheinungsjahr
2021
Zeitschriftentitel
JOURNAL OF PURE AND APPLIED ALGEBRA
Band
225
Ausgabe
2
Art.-Nr.
106500
ISSN
0022-4049
eISSN
1873-1376
Page URI
https://pub.uni-bielefeld.de/record/2946490

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Neaime G. Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JOURNAL OF PURE AND APPLIED ALGEBRA. Accepted;225(2): 106500.
Neaime, G. (Accepted). Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JOURNAL OF PURE AND APPLIED ALGEBRA, 225(2), 106500. doi:10.1016/j.jpaa.2020.106500
Neaime, G. (Accepted). Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JOURNAL OF PURE AND APPLIED ALGEBRA 225:106500.
Neaime, G., Accepted. Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JOURNAL OF PURE AND APPLIED ALGEBRA, 225(2): 106500.
G. Neaime, “Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n)”, JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 225, Accepted, : 106500.
Neaime, G.: Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JOURNAL OF PURE AND APPLIED ALGEBRA. 225, : 106500 (Accepted).
Neaime, Georges. “Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n)”. JOURNAL OF PURE AND APPLIED ALGEBRA 225.2 (Accepted): 106500.

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