Clifford algebras and spinor structures : a special volume dedicated to the memory of Albert Crumeyrolle, 1919-1992

Preface/Avant-propos. La demarche algebrique d'un geometre 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 algebres 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. Rodriguez-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 Pade Approximants:- Clifford-valued functions in l3 W.E. Baylis, B. Jancewicz. Clifford analysis and elliptic boundary value problems K. Gurlebeck, W. Sprosig. A complete boundary collocation system F. Kippig. On the algebraic foundations of the vector e-algorithm D.E. Roberts. Clifford Algebras and Generalizations:- Classical spinor structures on quantum spaces M. urdevic. A unified metric B.M. Kemmell. Quantum braided Clifford algebras J. Lawrynowicz, L.C. Papaloucas, R. Rembielinski>. Clifford algebra for Hecke braid Z. Oziewicz. Index.