Book 1993

Symmetries in Science VI

From the Rotation Group to Quantum Algebras

Editors:

ISBN: 978-1-4899-1221-3 (Print) 978-1-4899-1219-0 (Online)

Table of contents (63 chapters)

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  1. Front Matter

    Pages i-xvii

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    Chapter

    Pages 1-17

    Deformable Media with Microstructure

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    Chapter

    Pages 19-40

    Biorthogonal and Orthogonal Bases in the Missing Label Problem

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    Chapter

    Pages 41-45

    Lie Ideals and Symmetric Bi-Derivations of Prime Rings

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    Chapter

    Pages 47-55

    From Q-Oscillators to Quantum Groups

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    Chapter

    Pages 57-63

    An Analog of the Fourier Transformation for A q-Harmonic Oscillator

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    Chapter

    Pages 65-73

    Geometry, Group Theory and Partitions

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    Chapter

    Pages 75-83

    Origin of Spin: From Rotation Group to Noncommutative Zitterbewegung

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    Chapter

    Pages 85-87

    Massless Representations of the Poincaré Group and Conformal Invariance

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    Chapter

    Pages 89-97

    q-Deformed Oscillators in Nuclear and Molecular Physics

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    Chapter

    Pages 99-113

    Induced Representations and the Frobenius Theorem for Finite Quantum Groups

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    Chapter

    Pages 115-128

    Non-Abelian Surprises for Gauge Fields Coupled to Gravity

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    Chapter

    Pages 129-147

    Colored Supersymmetry of Mesons and Baryons Based on Octonionic Algebras

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    Chapter

    Pages 149-156

    Quantum Algebras and Lie Groups

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    Chapter

    Pages 157-170

    q-Fock Space Representations of the q-Lorentz Algebra and Irreducible Tensors

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    Chapter

    Pages 171-186

    Construction of Quantum Groups and the Yang-Baxter Equation with Spectral Parameter

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    Chapter

    Pages 187-194

    Supersymmetry and the Nonlocal Yangian Deformation Symmetry

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    Chapter

    Pages 195-215

    Quantum Algebras: Representations and Real Forms

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    Chapter

    Pages 217-224

    Lagrangians from Equations: A Skyrmion Case Study

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    Chapter

    Pages 225-234

    Probability, Representations, and Coordinates on Lie Groups

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    Chapter

    Pages 235-245

    A Quantum Algebraic Interpretation of the Basic Hypergeometric Series r Φ s

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