J.M. Parra, Clifford Algebras. Towards a Common Language for Mathematicians and Physicists. Some Suggested Notations
ABSTRACTS of Recent Papers (pages 169-184)
S. Hacyan, Dirac Spinors and Curvature in the Null Tetrad Formulation
of General Relativity
G.B. Shishkin, W.D. Cabos, Dirac Equation in External Fields: Separation
of Variables in Curvilinear Coordinates
G. Rcheulishvili, The Curvature and the Algebra of Killing Vectors
in Five-Dimensional Space
M. Rausch, de Traubenberg, N. Fleury, Beyond SpinorsY. Brihaye, P.
Maslanka, S. Giler, P. Kosinski, Real Representations of Clifford Algebras
R.P. Martinez-Romero,k A.L. Salas-Brito, Conformal Invariance in a
Dirac Oscillator
P. Hillion, Nondispersive Solutions of the Dirac Equation
A.A. Coley, B.O.J. Tupper, Affine Conformal Vectors in Space-Time
A. Talmadge, A Geomertic Formulation of the Higgs Mechanism
S. Marchiafava, J. Rembielinski, Quantum Quaternions
S.M. de Souza, M.T. Thomaz, Grassmann Algebra and Fermions in the Lattice:
A Simple Example
S. Bernstein, Generalized Riesz Potentials
R. Shaw, Finite Geometries and Clifford Algebras
P. Budinich, A. Trautman, Fock Space Description of Simple Spinors
P. Lounesto, Cayley Transform, Outer Exponential and Spinor Norm
A. Della Selva, A. Sciarrino, Realization of Exceptional Superalgebras
in Terms of Fermion-Boson Creation-Annihilation Operators
W. Kopczynski, A. Trautman, Simple Spinors and Real Structures
K. Gurlebeck, W. Sproessig, U. Wimmerm Hypercomplex Function Theory
for Non-Linear Stokes Problems with Variable Viscosity
J. Mickelsson, Electroweak Interactions from Space-Time Geometry
J. Mickelsson, On the Unification of Electroweak Interactions with
Gravity
N. Fleury, M. Rausch de Traubenberg, R.M. Yamaleev, Commutative Extended
Complex Numbers and Connected Trigonometry
W.A. Rodrigues Jr., A Comment on Generalized Electromagnetism and Dirac
Algebra
P. Lounesto, A. Springer, Mobius Transformations and Clifford Algebras
of Euclidean and Anti-Euclidean Spaces
N. Fleury, M. Rasuch de Traubenberg, Linearization of Polynomials
G.F. Torres del Castillo, C. Uribe Estrada, Solucion de la Ecuacion
de Dirac en Terminos de los Armonicos
S. Bernstein, Symbol and Characteristic of Weakly Singular Integral
Operators
J. P. Crawford, A Generalization of the Principle of Equivalence: Mass
Generation and the Einstein-Hilbert Action
W.M. Pezzaglia Jr., Clifford Algebra Geometric-Multispinor Particles
and Multivector Current Gauge Fields
W.A. Rodriguez Jr. and J.R. Zeni, The Relation betwee 2-spinors and
Rotations
W.M. Pezzaglia Jr., Clifford Algebra Derivation of the Characteristic
Hypersurfaces of Maxwell's Equations
N.A. Gordon, T.M. Jarvis, J.G. Maks, R. Shaw, Composition Algebras
and GF(2)
J. Lawrynowicz, E. Ramirez de Arellano and J. Rembielinski, The Correspondence
Between Type-Reversing Transformations of Pseudo-Euclidean Hurwitz Pairs
and Clifford Aglebras I
J. Lawrynowicz, E. Ramirez de Arellano and J. Rembielinski, The Correspondence
Between Type-Reversing Transformations of Pseudo-Euclidean Hurwitz Pairs
and Clifford Aglebras II
1991, May 27-30, Chemnitz, Germany, Abstracts of papers submitted at
the workshop: Analysis in Higher Dimensions and Transform Analysis, organized
by E. Laudau and W. Sprossig
1992, Sept 25-27, Wroclaw, Poland, Second Max Born Symposium Spinors,
Twistors and Clifford Algebras organized by Z. Oziewicz.
1993, May 24-28, Figueira da Foz (Portugal), Clifford Algebras and
Their Applications in Mathematical Physics III, organized by R. Delanghe.
[Editorial Note: This conference actually took place in Belgium in
October 1993]
1993, June 15-19, Mexico, XXII International Conference on DGM in Theoretical
Physics
[Editorial Notes: this actually took place in September 1993]
Clifford Algebras and their Applications in Mathematical Physics, (Proceedings
of the 2nd International Conference), A. Micali, R. Boudet, and J. Helmstetter;
Kluwer Academic Publishers, Dordrecht Date of publishing: (March 1992)
536 pp. Hardbound ISBN: 0-7923-1623-1
The Electron New Theory and Experiment, edited by D. Hestenes and Antonio
Weingartshofer, Kluwer Academic Publishers, Dordrecht (July 1991) 412 pp.
Hardbound ISBN: 0-7923-1356-9
Clifford Algebras and Dirac Operators in Harmonic Analysis, by J. Gilbert
and M. Murray, Cambridge Studies in Advanced Mathematics 26 (1991), 342
pp., Hardback ISBN: 0-521-34654-1. The aim of this book is to unite the
seemingly disparate topics of Clifford algebras, analysis on manifolds,
and harmonic analysis. The authors show how algebra, geometry, and differential
equations play a more fundamental role in Euclidean Fourier analysis. They
then link their presentation of the Euclidean theory naturally to the representation
theory of semi-simple Lie groups. Contents: Clifford Algebras / Dirac Operators
and Clifford Analyticity / Dirac Operators and the Spin Group / Dirac Operators
in the Analysis on Euclidean Space / Dirac Operators in Representation
Theory / Dirac Operators in Analysis
Twistor Geometry and Field Theory Ward, R.S. and Wells, Jr., R.O. This
account of twistor treatment of certain linear and non-linear partial differential
equations is essential reading for physicists working in field theory and
relativity, and mathematicians applying algebraic geometry and several
complex variables to physics. Cambridge Monographs on Mathematical Physics:
ISBN Hardback 0-521-26890-7, Paperback 0-521-42268-X