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Varadarajan V.S. Reflections on Quanta, Symmetries, and Supersymmetries

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Varadarajan V.S. Reflections on Quanta, Symmetries, and Supersymmetries
Springer, 2011. — 248 p. — ISBN 978-1-4419-0666-3.
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.
Table of contents
Prologue
Quantum Algebra
Probability in the quantum world
Super geometry
Unitary representations of super Lie groups
Nonarchimedean physics
Differential equations with irregular singularities
Mackey, Harish-Chandra, and representation theory
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