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Birkhäuser

Symmetry and Spaces

In Honor of Gerry Schwarz

  • Book
  • © 2010

Overview

Editors:
  1. H. E. A. Campbell

    1. Dept. Mathematics, University of New Brunswick, Fredericton, Canada

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  2. Aloysius G. Helminck

    1. Dept. Mathematics, North Carolina State University, Raleigh, U.S.A.

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  3. Hanspeter Kraft

    1. Inst. Mathematik, Universität Basel, Basel, Switzerland

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  4. David Wehlau

    1. Dept. Mathematics & Statistics, Queen's University, Kingston, Kingston, Canada

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  • Papers written by leading experts in the field of algebraic geometry
  • Articles exploring various topics in algebraic geometry; particular focus is on characteristic 0 and modular invariant theory
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 278)

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-16
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  2. Some Basic Results on Actions of Nonaffine Algebraic Groups

    • Michel Brion
    Pages 1-20

  3. On Chevalley–Shephard–Todd’s Theorem in Positive Characteristic

    • Abraham Broer
    Pages 21-34

  4. Families of Affine Fibrations

    • Daniel Daigle, Gene Freudenburg
    Pages 35-43

  5. On the Depth of Modular Invariant Rings for the Groups C p × C p

    • Jonathan Elmer, Peter Fleischmann
    Pages 45-61

  6. Kählerian Reduction in Steps

    • Daniel Greb, Peter Heinzner
    Pages 63-82

  7. On Orbit Decompositions for Symmetric k-Varieties

    • A. G. Helminck
    Pages 83-127

  8. Root Systems for Levi Factors and Borel–de Siebenthal Theory

    • Bertram Kostant
    Pages 129-152

  9. Polarizations and Nullcone of Representations of Reductive Groups

    • Hanspeter Kraft, Nolan R. Wallach
    Pages 153-167

  10. Decomposing Symmetric Powers of Certain Modular Representations of Cyclic Groups

    • R. James Shank, David L. Wehlau
    Pages 169-196

  11. Differential Operators on Grassmann Varieties

    • Will Traves
    Pages 197-207
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Keywords

About this book

A group of Gerry Schwarz’s colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday.  This volume is an outgrowth of that event, covering the wide range of mathematics to which Gerry Schwarz has either made fundamental contributions or stimulated others to pursue. The articles are a sampling of modern day algebraic geometry with associated group actions from its leading experts, with a particular focus on characteristic 0 and modular invariant theory.

Contributors:

M. Brion

A. Broer

D. Daigle

J. Elmer

P. Fleischmann

G. Freudenberg

D. Greb

P. Heinzner

A. Helminck

B. Kostant

H. Kraft

R. J. Shank

W. Traves

N. R. Wallach

D. Wehlau

Editors and Affiliations

  • Dept. Mathematics, University of New Brunswick, Fredericton, Canada

    H. E. A. Campbell

  • Dept. Mathematics, North Carolina State University, Raleigh, U.S.A.

    Aloysius G. Helminck

  • Inst. Mathematik, Universität Basel, Basel, Switzerland

    Hanspeter Kraft

  • Dept. Mathematics & Statistics, Queen's University, Kingston, Kingston, Canada

    David Wehlau

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