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Reflection Arrangements

  • Peter Orlik
  • Hiroaki Terao
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 300)

Abstract

In this chapter we study the equivariant theory of arrangements. Let GL(V) denote the general linear group of V. Suppose GGL(V) is a finite linear group and A is an arrangement which is stable under the action of G. We assume that the order of G is not divisible by the characteristic of the field 𝕂. Section 6.1 contains definitions, examples, and generalities about the action of G on the polynomial algebra S and on the S-modules Der𝕂 (S) and Ω[V]. We also study the action of G on the algebra A(A) and on the cohomology ring H*(M) in this section.

Keywords

Coxeter Group Reflection Group Basic Derivation Basic Invariant Discriminant Locus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Peter Orlik
    • 1
  • Hiroaki Terao
    • 1
  1. 1.Department of MathematicsUniversity of WisconsinMadisonUSA

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