Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919--1992)Rafal Ablamowicz, P. Lounesto Springer Science & Business Media, 28.02.1995 - 421 Seiten This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: articles summarizing Crumeyrolle's own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolle's research interests and influence in the field, articles of high scientific quality which would be of general interest. In each of the areas to which Crumeyrolle made significant contribution - Clifford and exterior algebras, Weyl and pure spinors, spin structures on manifolds, principle of triality, conformal geometry - there has been substantial progress. Our hope is that the volume conveys the originality of Crumeyrolle's own work, the continuing vitality of the field he influenced, and the enduring respect for, and tribute to, him and his accomplishments in the mathematical community. It isour pleasure to thank Peter Morgan, Artibano Micali, Joseph Grifone, Marie Crumeyrolle and Kluwer Academic Publishers for their help in preparingthis volume. |
Inhalt
VI | 3 |
VII | 13 |
VIII | 15 |
IX | 39 |
X | 59 |
XI | 101 |
XII | 113 |
XIII | 125 |
XXII | 257 |
XXIII | 265 |
XXIV | 281 |
XXV | 301 |
XXVI | 311 |
XXVII | 313 |
XXVIII | 325 |
XXIX | 335 |
XIV | 133 |
XV | 137 |
XVI | 167 |
XVII | 177 |
XVIII | 199 |
XIX | 205 |
XX | 241 |
XXI | 243 |
XXX | 343 |
XXXI | 363 |
XXXII | 365 |
XXXIII | 379 |
XXXIV | 387 |
XXXV | 397 |
413 | |
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Häufige Begriffe und Wortgruppen
Abłamowicz Algebras and Spinor algèbres de Clifford anneau Applications automorphisms basis bilinear form bilinear inner product bivector braid bundle C.R. Acad Chevalley Cl(g Cl(Q Clifford algebra Clo,n commutatif complex conjugate complex numbers components construction corresponding Crumeyrolle Crumeyrolle's defined definition denote dimension Dirac equation Dirac group Dirac operator Dirac spinor e₁ eigenvalue elements equivalent exterior algebra exterior product finite geometry forme quadratique given graded hermitian Hestenes hyperbolic idempotents inner product invariant inverse ISBN isomorphism isotropic K-algèbre K-module Killing spinors l'algèbre lemma linear Lorentz Lounesto manifold Math Mathematical matrix multiplication orthogonal orthonormal Phys Physics Poincaré Proof properties pure spinors quadratic form quadric quantum quaternions representation rotation satisfying scalar soient spacetime spin spin manifold spineurs spinor space Spinor Structures spinorielles subalgebra subgroup subspace symmetric symplectic symplectique Theorem theory twistor unique vector space wave function