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Titel:

A geometric interpretation of the characteristic polynomial of reflection arrangements

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Drton, Mathias; Klivans, Caroline J.
Abstract:
We consider projections of points onto fundamental chambers of finite real reflection groups. Our main result shows that for groups of types An,Bn, and Dn, the coefficients of the characteristic polynomial of the reflection arrangement are proportional to the spherical volumes of the sets of points that are projected onto faces of a given dimension. We also provide strong evidence that the same connection holds for the exceptional, and thus all, reflection groups. These results naturally extend...     »
Stichworte:
Characteristic polynomial, Coxeter group, hyperplane arrangement, order-restricted statistical inference, reflection group
Dewey Dezimalklassifikation:
510 Mathematik
Zeitschriftentitel:
Proceedings of the American Mathematical Society
Jahr:
2010
Band / Volume:
138
Jahr / Monat:
2010-04
Quartal:
2. Quartal
Monat:
Apr
Heft / Issue:
08
Seitenangaben Beitrag:
2873-2887
Sprache:
en
Volltext / DOI:
doi:10.1090/s0002-9939-10-10369-4
Verlag / Institution:
American Mathematical Society (AMS)
Print-ISSN:
0002-9939
E-ISSN:
1088-6826
Hinweise:
Published electronically: April 8, 2010
Status:
Verlagsversion / published
Publikationsdatum:
08.04.2010
Format:
Text
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