Clifford Algebras

Table of Contents

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   Book Overview
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   Chapter 1 The Morera Problem in Clifford Algebras and the Heisenberg Group
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   Chapter 2 Multidimensional Inverse Scattering Associated with the Schròdinger Equation
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   Chapter 3 On Discrete Stokes and Navier—Stokes Equations in the Plane
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   Chapter 4 A Symmetric Functional Calculus for Systems of Operators of Type ω
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   Chapter 5 Poincaré Series in Clifford Analysis
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   Chapter 6 Harmonic Analysis for General First Order Differential Operators in Lipschitz Domains
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   Chapter 7 Paley—Wiener Theorems and Shannon Sampling in the Clifford Analysis Setting
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   Chapter 8 Bergman Projection in Clifford Analysis
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    Chapter 9 Quaternionic Calculus for a Class of Initial Boundary Value Problems
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    Chapter 10 A Nahm Transform for Instantons over ALE Spaces
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    Chapter 11 Hyper-Hermitian Manifolds and Connections with Skew-Symmetric Torsion
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    Chapter 12 Casimir Elements and Bochner Identities on Riemannian Manifolds
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    Chapter 13 Eigenvalues of Dirac and Rarita—Schwinger Operators
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    Chapter 14 Differential Forms Canonically Associated to Even-Dimensional Compact Conformal Manifolds
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    Chapter 15 The Interface of Noncommutative Geometry and Physics
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    Chapter 16 The Method of Virtual Variables and Representations of Lie Superalgebras
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    Chapter 17 Algebras Like Clifford Algebras
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    Chapter 18 Grade Free Product Formulæ from Grassmann-Hopf Gebras
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    Chapter 19 The Clifford Algebra in the Theory of Algebras, Quadratic Forms, and Classical Groups
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    Chapter 20 Lipschitz’s Methods of 1886 Applied to Symplectic Clifford Algebras
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    Chapter 21 The Group of Classes of Involutions of Graded Central Simple Algebras
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    Chapter 22 A Binary Index Notation for Clifford Algebras
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    Chapter 23 Transposition in Clifford Algebra: SU(3) from Reorientation Invariance
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    Chapter 24 The Quantum/Classical Interface: Insights from Clifford’s (Geometric) Algebra
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    Chapter 25 Standard Quantum Spheres
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    Chapter 26 Clifford Algebras, Pure Spinors and the Physics of Fermions
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    Chapter 27 Spinor Formulations for Gravitational Energy-Momentum
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    Chapter 28 Chiral Dirac Equations
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    Chapter 29 Using Octonions to Describe Fundamental Particles
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    Chapter 30 Applications of Geometric Algebra in Electromagnetism, Quantum Theory and Gravity
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    Chapter 31 Noncommutative Physics on Lie Algebras, (ℤ 2 ) n Lattices and Clifford Algebras
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    Chapter 32 Dirac Operator on Quantum Homogeneous Spaces and Noncommutative Geometry
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    Chapter 33 r -Fold Multivectors and Superenergy
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    Chapter 34 The Cl 7 Approach to the Standard Model
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    Chapter 35 Implementation of a Clifford Algebra Co-Processor Design on a Field Programmable Gate Array
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    Chapter 36 Image Space
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    Chapter 37 Pose Estimation of Cycloidal Curves by using Twist Representations