Advances in Applied Clifford Algebras

Volume 1, No. 1
December 1991

TABLE OF CONTENTS of Journal

LETTERS and COMMENTS

• Page 1: Letters to the Editor of Princeton University Press and of Academic Press, on Misconceptions about Clifford Algebra propagated in the literature.
• Page 5: Guest Commentary by David Hestenes, A Unified Language for Mathematics and Physics

PAPERS

1. Page 31: Jaime Keller, Spinors as a Basis of a Geometric Superalgebra
2. Page 51: D. Hestenes, P. Reany, G. Sobczyk, Unipodal Algebra and Roots of Polynomials: Report
3. Page 65: Gaston Casanova, Theorie Relativiste du Nucleon et du Doublet Xi
4. Page 75: A.K. Kwasniewski, Les Algebres de Clifford et de Grassmann Generalisees
5. Page 85: W. Kopczynski and R. Maszczyk, Spinorial Idempotents in the Clifford Algebras Three-Dimensional Vector Spaces

ABSTRACTS of Recent Papers (pages 95-106)

1. Franco Piazzese, On the Classical Theory of Elementary Spinors
2. A.B. Evans, Klein's Paradox in a Four-Space Formulation of Dirac's Equation
3. Y.Liu, Spinor Connections and Geometrization of Fermions
4. M. Keyl, About the Geometric Structure of Symmetry-Breaking
5. J. Keller and Adan Rodriguez, Geometric Superalgebra and the Dirac Equation
6. G.E. Sobczyk, Algebraic Roots and Noncommutative Analysis
7. Y.A. Rylov, Non-Riemannian Model of the Space-time Responsible for Quantum Effects
8. J. Keller, Spinors and Multivectors as a Unified Tool for Spacetime Geometry and for Elementary Particle Physics
9. J. Keller and S. Rodriguez-Romo, Multivectorial Representation of Lie Groups
10. J.P. Crawford, Clifford Algebra: Notes on the Spinor Metric and Lorentz, Poincare and Conformal Groups
11. D. Hestenes, The Design of Linear Algebra and Geometry\
12. D. Hestenes, Zitterbewegung in Radiative Processes
13. A.M.R. Magnon, Spin-Plane Defects and Emergence of Planck's Constant in Gravity
14. M.A. Abul-Ez and D. Constales, Basic Set of Polynomials in Clifford Analysis
15. J.P. Crawford, Bispinor Geometry for Even-Dimensional Spacetime
16. E. Weimar-Woods, The Three-Dimensional Real Lie Algebras and Their Contractions
17. S. Okubo, Real Representations of Finite Clifford Algebras. I. Classification
18. S. Okubo, Real Representations of Finite Clifford Algebras. II. Explicit Construction and Pseudo-Octonion
19. M.A. Abul-Ez, On the Addition of Basic Sets of Special Monogenic Polynomials
20. M.A. Abul-Ez and K.A. Sayyed, On Integral Operator Sets of Polynomials of Two Complex Variables
21. M.A. Abul-Ez and D. Constales, Linear Substitution for Basic Sets of Polynomials in Clifford Analysis
22. M.K. Makhool and A.O. Morris, Real Projective Representations of Clifford Algebras, and Symmetric Groups
23. M.A. Abul-Ez and K.A. Sayyed, On Sets of Polynomials Associated with Entire Functions
24. M.A. Abul-Ez, Inverse Sets of Polynomials in Clifford Analysis
25. D. Hestenes and R. Ziegler, Projective Geometry with Clifford Algebra
26. M.A. Abul-Ez, Basic Sets of Polynomials in Complex and Clifford Analysis

BOOK REVIEWS and Recommended Readings (pages107-109)

A list of good reference books on Clifford algebras, taken from the Conference Report on the Second Workshop on "Clifford Algebras and Their Applications in Mathematical Physics", as it appeared in Foundations of Physics, Vol. 21, No. 6, June 1991. The list was prepared by Pertti Lounesto, Helsinki University of Technology.