Reflections on quanta, symmetries, and supersymmetries
By: V. S. Varadarajan
Publisher: Springer
Published: 2011
Place of publication: New York
Language: eng
Number of pages: 236
ISBN-13: 9781441906663
Subjects: Symmetry (Mathematics); Representations of Lie groups; Quantum groups; Supersymmetry
Description: 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.
Notes: Includes bibliographical references.
Table of contents: title: Prologue; title: Quantum algebra; title: Probability in the quantum world; title: Super geometry; title: Unitary representations of super Lie groups; title: Nonarchimedean physics; title: Differential equations with irregular singularities; title: Mackey, Harish-Chandra, and representation theory.