The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.
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I. Clifford Analysis.-
1. The Morera Problem in Clifford Algebras and
the Heisenberg Group.-
2. Multidimensional Inverse Scattering Associated with
the Schrödinger Equation.-
3. On Discrete Stokes and NavierStokes Equations
in the Plane.-
4. A Symmetric Functional Calculus for Systems of Operators of
Type ?.-
5. Poincaré Series in Clifford Analysis.-
6. Harmonic Analysis for
General First Order Differential Operators in Lipschitz Domains.-
7.
PaleyWiener Theorems and Shannon Sampling in the Clifford Analysis Setting.-
8. Bergman Projection in Clifford Analysis.-
9. Quaternionic Calculus for a
Class of Initial Boundary Value Problems.- II. Geometry.-
10. A Nahm
Transform for Instantons over ALE Spaces.-
11. Hyper-Hermitian Manifolds and
Connections with Skew-Symmetric Torsion.-
12. Casimir Elements and Bochner
Identities on Riemannian Manifolds.-
13. Eigenvalues of Dirac and
RaritaSchwinger Operators.-
14. Differential Forms Canonically Associated to
Even-Dimensional Compact Conformal Manifolds.-
15. The Interface of
Noncommutative Geometry and Physics.- III. Mathematical Structures.-
16. The
Method of Virtual Variables and Representations of Lie Superalgebras.-
17.
Algebras Like Clifford Algebras.-
18. Grade Free Product Formulę from
GrassmannHopf Gebras.-
19. The Clifford Algebra in the Theory of Algebras,
Quadratic Forms, and Classical Groups.-
20. Lipschitzs Methods of 1886
Applied to Symplectic Clifford Algebras.-
21. The Group of Classes of
Involutions of Graded Central Simple Algebras.-
22. A Binary Index Notation
for Clifford Algebras.-
23. Transposition in Clifford Algebra: SU(3) from
Reorientation Invariance.- IV. Physics.-
24. The Quantum/Classical Interface:
Insights from Cliffords (Geometric) Algebra.-
25. Standard Quantum Spheres.-
26.Clifford Algebras, Pure Spinors and the Physics of Fermions.-
27. Spinor
Formulations for Gravitational Energy-Momentum.-
28. Chiral Dirac Equations.-
29. Using Octonions to Describe Fundamental Particles.-
30. Applications of
Geometric Algebra in Electromagnetism, Quantum Theory and Gravity.-
31.
Noncommutative Physics on Lie Algebras, (?2)n Lattices and Clifford
Algebras.-
32. Dirac Operator on Quantum Homogeneous Spaces and
Noncommutative Geometry.-
33. r-Fold Multivectors and Superenergy.-
34. The
Cl7 Approach to the Standard Model.- V. Applications in Engineering.-
35.
Implementation of a Clifford Algebra Co-Processor Design on a Field
Programmable Gate Array.-
36. Image Space.-
37. Pose Estimation of Cycloidal
Curves by using Twist Representations.
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