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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.

Quantum theory -- Philosophy. --- Quantum theory. --- Symmetry (Mathematics) --- Representations of Lie groups --- Quantum groups --- Supersymmetry --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Calculus --- Symmetry. --- Supersymmetry. --- Unified theories --- Mathematics. --- Algebra. --- Ordered algebraic structures. --- Topological groups. --- Lie groups. --- Differential equations. --- Probabilities. --- Quantum physics. --- Elementary particles (Physics). --- Quantum field theory. --- Topological Groups, Lie Groups. --- Quantum Physics. --- Order, Lattices, Ordered Algebraic Structures. --- Elementary Particles, Quantum Field Theory. --- Ordinary Differential Equations. --- Probability Theory and Stochastic Processes. --- Particles (Nuclear physics) --- Symmetry (Physics) --- Aesthetics --- Proportion --- Topological Groups. --- Differential Equations. --- Distribution (Probability theory. --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- 517.91 Differential equations --- Differential equations --- Mathematical analysis --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Groups, Topological --- Continuous groups --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Algebraic structures, Ordered --- Structures, Ordered algebraic

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Ordered algebraic structures --- Algebra --- Topological groups. Lie groups --- Differential equations --- Operational research. Game theory --- Quantum mechanics. Quantumfield theory --- Elementary particles --- differentiaalvergelijkingen --- algebra --- elementaire deeltjes --- quantumfysica --- topologie (wiskunde) --- stochastische analyse --- kwantumleer --- kansrekening

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