Lie Theory and Its Applications in Physics

Table of Contents

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   Book Overview
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   Chapter 1 A Lump Solution in SFT
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   Chapter 2 Towards p -Adic Matter in the Universe
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   Chapter 3 Palev Statistics and the Chronon
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   Chapter 4 Some Remarks on Weierstrass Sections, Adapted Pairs and Polynomiality
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   Chapter 5 From Palev’s Study of Wigner Quantum Systems to New Results on Sums of Schur Functions
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   Chapter 6 Varna Lecture on L 2 -Analysis of Minimal Representations
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   Chapter 7 Exponential Series Without Denominators
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   Chapter 8 New methods in conformal partial wave analysis
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    Chapter 9 Euclidean Configuration Space Renormalization, Residues and Dilation Anomaly
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    Chapter 10 Wigner Quantization and Lie Superalgebra Representations
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    Chapter 11 Spontaneous Breaking of Supersymmetry, Localization and Nicolai Mapping in Matrix Models
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    Chapter 12 Mirror Map as Generating Function of Intersection Numbers
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    Chapter 13 Operadic Construction of the Renormalization Group
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    Chapter 14 Lightlike Braneworlds in Anti-de Sitter Bulk Space-Times
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    Chapter 15 Generalized Bernoulli Polynomials and the Casimir Effect in the Einstein Universe
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    Chapter 16 From Singularities to Algebras to Pure Yang–Mills with Matter
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    Chapter 17 On Modified Gravity
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    Chapter 18 The q -Wakimoto Realization of the Superalgebras $$U_{q}(\widehat{sl}(N|1))$$ and $$U_{q,p}(\widehat{sl}(N|1))$$
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    Chapter 19 Quantum Phases in Noncommutative Space
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    Chapter 20 On Quantum WZNW Monodromy Matrix: Factorization, Diagonalization, and Determinant
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    Chapter 21 Some Properties of Planar Galilean Conformal Algebras
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    Chapter 22 Invariant Differential Operators for Non-compact Lie Groups: The Sp ( n , IR) Case
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    Chapter 23 Generalization of the Gell–Mann Decontraction Formula for sl ( n , $$ \mathbb{R} $$ ) and Its Applications in Affine Gravity
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    Chapter 24 W-Algebras Extending $$\widehat{\mathfrak{g}\mathfrak{l}}(1\vert 1)$$
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    Chapter 25 Non-Local Space-Time Transformations Generated from the Ageing Algebra
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    Chapter 26 Construction of the Noncommutative Rank I Bergman Domain
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    Chapter 27 Singular Vectors and Zhu’s Poisson Algebra of Parafermion Vertex Operator Algebras
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    Chapter 28 Boson-Fermion Correspondence of Type B and Twisted Vertex Algebras
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    Chapter 29 On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras
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    Chapter 30 The Ruijsenaars Self-Duality Map as a Mapping Class Symplectomorphism
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    Chapter 31 Hilbert Space Decomposition for Coulomb Blockade in Fabry–Pérot Interferometers
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    Chapter 32 Group Classification of Variable Coefficient KdV-like Equations
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    Chapter 33 A New Diffeomorphism Symmetry Group of Magnetohydrodynamics
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    Chapter 34 Invariance Properties of the Exceptional Quantum Mechanics ( F 4 ) and Its Generalization to Complex Jordan Algebras ( E 6 )
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    Chapter 35 Matrix Superpotentials
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    Chapter 36 On Finite W -Algebras for Lie Superalgebras in the Regular Case
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    Chapter 37 Young Tableaux and Homotopy Commutative Algebras
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    Chapter 38 Fixed Point Factorization
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    Chapter 39 Differential Invariants of Second-Order Ordinary Differential Equations
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    Chapter 40 Some Properties of Harmonic Quasi-Conformal Mappings
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    Chapter 41 A Note on the Categorification of Lie Algebras
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    Chapter 42 A Continuous Bialgebra Structure on a Loop Algebra