| Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919-1992) 1995 Edition Contributor(s): Ablamowicz, Rafal (Editor), Lounesto, P. (Editor) |
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ISBN: 0792333667 ISBN-13: 9780792333661 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: February 1995 Annotation: 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 exterior algebra and spinor structures. The depth and breadth of Crumeyrolle's research interests and influence in the field is investigated in a number of articles.Of interest to physicists is the modern presentation of Crumeyrolle's approach to Weyl spinors, and to his spinoriality groups, which are formulated with spinor operators of Kustaanheimo and Hestenes. The Dirac equation and Dirac operator are studied both from the complex analytic and differential geometric points of view, in the modern sense of Ryan and Trautman.For mathematicians and mathematical physicists whose research involves algebra, quantum mechanics and differential geometry. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Algebra - Abstract - Mathematics | Group Theory |
| Dewey: 512.57 |
| LCCN: 94044743 |
| Series: Mathematics and Its Applications |
| Physical Information: 1" H x 6.14" W x 9.21" (1.78 lbs) 425 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |