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Sept. 2002 The primitive derivation and freeness of multi-Coxeter arrangements
Masahiko Yoshinaga
Proc. Japan Acad. Ser. A Math. Sci. 78(7): 116-119 (Sept. 2002). DOI: 10.3792/pjaa.78.116

Abstract

We will prove the freeness of multi-Coxeter arrangements by constructing a basis of the module of vector fields which contact to each reflecting hyperplanes with some multiplicities using K. Saito's theory of primitive derivation.

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Masahiko Yoshinaga. "The primitive derivation and freeness of multi-Coxeter arrangements." Proc. Japan Acad. Ser. A Math. Sci. 78 (7) 116 - 119, Sept. 2002. https://doi.org/10.3792/pjaa.78.116

Information

Published: Sept. 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1034.32020
MathSciNet: MR1930214
Digital Object Identifier: 10.3792/pjaa.78.116

Subjects:
Primary: 32S22
Secondary: 05E15

Keywords: adjoint quotient , Coxeter arrangement , finite reflection group , Hodge filtration

Rights: Copyright © 2002 The Japan Academy

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Vol.78 • No. 7 • Sept. 2002
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