Clifford Algebras and Spinor Structures

Preface/Avant-propos. La démarche algébrique d'un géomètre; A. Micali. List of publications of Albert Crumeyrolle (1919--1992). Ph.D. theses written under the supervision of Albert Crumeyrolle. Historical Survey:- Some Clifford algebra history; A. Diek, R. Kantowski. Clifford Algebras:- Tensors and Clifford algebra; A. Charlier, M.-F. Charlier, A. Roux. Sur les algèbres de Clifford III; A. Micali. Finite geometry, Dirac groups and the table of real Clifford algebras; R. Shaw. Clfford algebra techniques in linear algebra; G. Sobczyk. Crumeyrolle/Chevalley, Weyl, Pure and Majorana Spinors:- Construction of spinors via Witt decomposition and primitive idempotents: a review; R. Ablamowicz. Crumeyrolle-Chevalley-Riesz spinors and covariance; G. Jones, W.E. Baylis. Twistors as geometric objects in spacetime; J. Keller. Crumeyrolle's bivectors and spinors; P. Lounesto. On the relationships between the Dirac spinors and Clifford subalgebra Cl+1,3; F. Piazzese. Spinor fields and superfields as equivalence classes of exterior algebra fields; W.A. Rodrigues Jr., Q.A.G. de Souza, J. Vaz Jr. Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theorem; S. Rodríguez-Romo. Spinors from a differential point of view; M. Rosenbaum, C.P. Luehr, H. Harleston. Dirac Operator, Maxwell's Equations, and Conformal Covariance:- Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifolds; H. Baum, Th. Friedrich. Dirac's field operator ; H.T. Cho, A. Diek, R. Kantowski. Biquaternionic formulation of Maxwell's equations and their solutions; K. Imaeda. The massless Dirac equation, Maxwell'sequations, and the application of Clifford algebras; P. Morgan. The conformal covariance of Huygens' principle-type formulae in Clifford analysis; J. Ryan. Clifford Analysis, Boundary Value Problems, Hermite Interpolants, and Padé Approximants:- Clifford-valued functions in &mathsC;l3; W.E. Baylis, B. Jancewicz. Clifford analysis and elliptic boundary value problems; K. Gürlebeck,