Noncompact Lie Groups and Some of Their Applications

Table of Contents

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   Book Overview
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   Chapter 1 Noncompact Lie Groups, their Algebras and some of their Applications
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   Chapter 2 Harish-Chandra’s c-Function. A Mathematical Jewel
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   Chapter 3 Basic Harmonic Analysis on Pseudo-Riemannian Symmetric Spaces
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   Chapter 4 The Extensions of Space-Time. Physics in the 8-dimensional Homogeneous Space D = SU (2,2)/ K
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   Chapter 5 Ordinary- and Momentum-Space Conformal Compactifications: Some Possible Observable Consequences
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   Chapter 6 Radon transform on halfplanes via group theory
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   Chapter 7 Analytic torsion and automorphic forms
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   Chapter 8 Diffusion on Compact Ultrametric Spaces
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    Chapter 9 Generalized Square Integrability and Coherent States
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    Chapter 10 Maximal Abelian Subgroups of SU(p,q) and Integrable Hamiltonian Systems
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    Chapter 11 Path Integrals and Lie Groups
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    Chapter 12 Representations of Diffeomorphism Groups and the Infinite Symmetric Group
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    Chapter 13 Characters of Lie Groups
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    Chapter 14 Weyl Group Actions on Lagrangian Cycles and Rossmann’s Formula
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    Chapter 15 Taylor Formula, Tensor Products, and Unitarizability
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    Chapter 16 A Connection between Lie Algebra Roots and Weights and the Fock Space Construction
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    Chapter 17 Applications of Sp(3,R) in Nuclear Physics
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    Chapter 18 Nilpotent Groups and Anharmonic Oscillators
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    Chapter 19 Extensions of the Mass 0 Helicity 0 Representation of the Poincare Group
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    Chapter 20 Invariant causal propagators in conformal space
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    Chapter 21 Gauge groups, anomalies and non-abelian cohomology
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    Chapter 22 The E 8 Family of Quasicrystals
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    Chapter 23 Wavelet Interpolation and Approximate Solutions of Elliptic Partial Differential Equations
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    Chapter 24 From Super Lie Algebras to Supergroups: Matrix Realizations and the Factorisation Problem
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    Chapter 25 Current Algebras as Hilbert Space Operator Cocycles
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    Chapter 26 Non-Linear Realization Technique — The most Convenient Way of Deriving N=1 Supergravity
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    Chapter 27 Toda Systems as Constrained Linear Systems
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    Chapter 28 On the Definitions of the Quantum Group U h ( sl (2, k )) and the Restricted Dual of U h ( sl ( n,k ))
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    Chapter 29 Universal T-matrix for Twisted Quantum g ℓ( N )
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    Chapter 30 Unitary Representations of Quantum Lorentz Group
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    Chapter 31 Contraction of Quantum Groups and Lattice Physics
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    Chapter 32 A Quantum Poincaré Group and the Dirac-Coulomb Problem