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Clifford Algebras And Spinor Structures, A Special Volume Dedicated To The Memory Of Albert Crumeyrolle (1919--1992) Book

Clifford Algebras And Spinor Structures, A Special Volume Dedicated To The Memory Of Albert Crumeyrolle (1919--1992)
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  • Clifford Algebras And Spinor Structures, A Special Volume Dedicated To The Memory Of Albert Crumeyrolle (1919--1992)
  • Written by author A. Crumeyrolle
  • Published by Springer-Verlag New York, LLC, February 1995
  • This volume introduces mathematicians and physicists to a crossing point of algebra, physics, differential geometry and complex analysis. The book follows the French tradition of Cartan, Chevalley and Crumeyrolle and summarizes Crumeyrolle's own work on e
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Preface
la demarche algebrique d'un geometre
List of publications of Albert Crumeyrolle (1919-1992)
Ph.D. Theses written under the supervision of Albert Crumeyrolle
Some Clifford algebra history3
Tensors and Clifford algebra15
Sur les algebres de Clifford III39
Finite geometry, Dirac groups and the table of real Clifford algebras59
Clifford algebra techniques in linear algebra101
Construction of spinors via Witt decomposition and primitive idempotents: a review113
Crumeyrolle-Chevalley-Riesz spinors and covariance125
Twistors as geometric objects in spacetime133
Crumeyrolle's bivectors and spinors137
On the relationships between the Dirac spinors and Clifford subalgebra [actual symbol not reproducible]167
Spinor fields and superfields as equivalence classes of exterior algebra fields177
Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theorem199
Spinors from a differential geometric point of view205
Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifolds243
Dirac's field operator [psi]257
Biquaternionic formulation of Maxwell's equations and their solutions265
The massless Dirac equation, Maxwell's equations, and the application of Clifford algebras281
The conformal covariance of Huygens' principle-type integral formulae in Clifford analysis301
Clifford-valued functions in Cl[subscript 3]313
Clifford analysis and elliptic boundary value problems325
A complete boundary collocation system335
On the algebraic foundations of the vector [epsilon]-algorithm343
Classical spinor structures on quantum spaces365
A unified metric379
Quantum braided Clifford algebras387
Clifford algebra for Hecke braid397
Index413


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