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Reflection Groups and Invariant Theory

Overview of attention for book
Cover of 'Reflection Groups and Invariant Theory'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction: Reflection groups and invariant theory
  3. Altmetric Badge
    Chapter 2 Euclidean reflection groups
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    Chapter 3 Root systems
  5. Altmetric Badge
    Chapter 4 Fundamental systems
  6. Altmetric Badge
    Chapter 5 Length
  7. Altmetric Badge
    Chapter 6 Parabolic subgroups
  8. Altmetric Badge
    Chapter 7 Reflection groups and Coxeter systems
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    Chapter 8 Bilinear forms of Coxeter systems
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    Chapter 9 Classification of Coxeter systems and reflection groups
  11. Altmetric Badge
    Chapter 10 Weyl groups
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    Chapter 11 The Classification of crystallographic root systems
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    Chapter 12 Affine Weyl groups
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    Chapter 13 Subroot systems
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    Chapter 14 Formal identities
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    Chapter 15 Pseudo-reflections
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    Chapter 16 Classifications of pseudo-reflection groups
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    Chapter 17 The ring of invariants
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    Chapter 18 Poincaré series
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    Chapter 19 Nonmodular invariants of pseudo-reflection groups
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    Chapter 20 Modular invariants of pseudo-reflection groups
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    Chapter 21 Skew invariants
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    Chapter 22  The Jacobian
  24. Altmetric Badge
    Chapter 23 The extended ring of invariants
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    Chapter 24 Poincaré series for the ring of covariants
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    Chapter 25 Representations of pseudo-reflection groups
  27. Altmetric Badge
    Chapter 26 Harmonic elements
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    Chapter 27 Harmonics and reflection groups
  29. Altmetric Badge
    Chapter 28 Involutions
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    Chapter 29 Elementary equivalences
  31. Altmetric Badge
    Chapter 30 Coxeter elements
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    Chapter 31 Minimal decompositions
  33. Altmetric Badge
    Chapter 32 Eigenvalues for reflection groups
  34. Altmetric Badge
    Chapter 33 Eigenvalues for regular elements
  35. Altmetric Badge
    Chapter 34 Ring of invariants and eigenvalues
  36. Altmetric Badge
    Chapter 35 Properties of regular elements
Attention for Chapter 26: Harmonic elements
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Chapter title
Harmonic elements
Chapter number 26
Book title
Reflection Groups and Invariant Theory
Published by
Springer, New York, NY, January 2001
DOI 10.1007/978-1-4757-3542-0_26
Book ISBNs
978-1-4419-3194-8, 978-1-4757-3542-0
Authors

Richard Kane, Jonathan Borwein, Peter Borwein, Kane, Richard, Borwein, Jonathan, Borwein, Peter

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