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Clifford Algebras and Spinor Structures : A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919-1992) - Rafal Ablamowicz

Clifford Algebras and Spinor Structures

A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919-1992)

By: Rafal Ablamowicz (Editor), Pertti Lounesto (Editor)

Hardcover Published: 28th February 1995
ISBN: 9780792333661
Number Of Pages: 425

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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.

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 historyp. 3
Tensors and Clifford algebrap. 15
Sur les algebres de Clifford IIIp. 39
Finite geometry, Dirac groups and the table of real Clifford algebrasp. 59
Clifford algebra techniques in linear algebrap. 101
Construction of spinors via Witt decomposition and primitive idempotents: a reviewp. 113
Crumeyrolle-Chevalley-Riesz spinors and covariancep. 125
Twistors as geometric objects in spacetimep. 133
Crumeyrolle's bivectors and spinorsp. 137
On the relationships between the Dirac spinors and Clifford subalgebra [actual symbol not reproducible]p. 167
Spinor fields and superfields as equivalence classes of exterior algebra fieldsp. 177
Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theoremp. 199
Spinors from a differential geometric point of viewp. 205
Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifoldsp. 243
Dirac's field operator [psi]p. 257
Biquaternionic formulation of Maxwell's equations and their solutionsp. 265
The massless Dirac equation, Maxwell's equations, and the application of Clifford algebrasp. 281
The conformal covariance of Huygens' principle-type integral formulae in Clifford analysisp. 301
Clifford-valued functions in Cl[subscript 3]p. 313
Clifford analysis and elliptic boundary value problemsp. 325
A complete boundary collocation systemp. 335
On the algebraic foundations of the vector [epsilon]-algorithmp. 343
Classical spinor structures on quantum spacesp. 365
A unified metricp. 379
Quantum braided Clifford algebrasp. 387
Clifford algebra for Hecke braidp. 397
Indexp. 413
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792333661
ISBN-10: 0792333667
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 425
Published: 28th February 1995
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.78  x 3.18
Weight (kg): 0.98

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