Reflections on Quanta, Symmetries, and Supersymmetries

  • V.S.┬áVaradarajan

Table of contents

  1. Front Matter
    Pages 1-8
  2. V. S. Varadarajan
    Pages 1-14
  3. V. S. Varadarajan
    Pages 15-56
  4. V. S. Varadarajan
    Pages 57-91
  5. V. S. Varadarajan
    Pages 93-120
  6. V. S. Varadarajan
    Pages 121-153
  7. V. S. Varadarajan
    Pages 155-178
  8. V. S. Varadarajan
    Pages 179-205
  9. V. S. Varadarajan
    Pages 207-236

About this book

Introduction

Unitary representation theory has great intrinsic beauty which enters other parts of mathematics at a very deep level. In quantum physics it is the preferred language for describing symmetries and supersymmetries. Two of the greatest figures in its history are Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated.

Mackey and Harish-Chandra. Their work (to use the words of Weyl) affords shade to large parts of present day mathematics and high energy physics. It is to their memory that this volume is lovingly dedicated.

The essays in this volume are like a stroll through a garden of ideas of this rich subject: quantum algebras, super geometry, unitary supersymmetries, differential equations, non-archimedean physics, are a few of the topics encountered along the way. The author, whose mathematical education evolved out of his interactions with Mackey and Harish-Chandra, concludes this volume with brief portraits of their work, embedded in the context of personal reminiscences.

Keywords

Harish-Chandra p-adic world probability quantum world representation theory space-time superworld

Authors and affiliations

  • V.S.┬áVaradarajan
    • 1
  1. 1.Department of MathematicsUCLALos AngelesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-0667-0
  • Copyright Information Springer Science+Business Media, LLC 2011
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-0666-3
  • Online ISBN 978-1-4419-0667-0
  • About this book