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Reflection Groups and Invariant Theory

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Cover of 'Reflection Groups and Invariant Theory'

Table of Contents

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    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
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    Chapter 4 Fundamental systems
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    Chapter 5 Length
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    Chapter 6 Parabolic subgroups
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    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
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    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
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    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
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    Chapter 26 Harmonic elements
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    Chapter 27 Harmonics and reflection groups
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    Chapter 28 Involutions
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    Chapter 29 Elementary equivalences
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    Chapter 30 Coxeter elements
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    Chapter 31 Minimal decompositions
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    Chapter 32 Eigenvalues for reflection groups
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    Chapter 33 Eigenvalues for regular elements
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    Chapter 34 Ring of invariants and eigenvalues
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    Chapter 35 Properties of regular elements
Overall attention for this book and its chapters
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Title
Reflection Groups and Invariant Theory
Published by
Springer New York, March 2013
DOI 10.1007/978-1-4757-3542-0
ISBNs
978-1-4419-3194-8, 978-1-4757-3542-0
Authors

Kane, Richard

Editors

Borwein, Jonathan, Borwein, Peter

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 1 33%
Unknown 2 67%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 2 67%
Researcher 2 67%
Student > Master 1 33%
Professor 1 33%
Readers by discipline Count As %
Mathematics 6 200%