Clifford Algebras and Spinor Structures
Subtitle: A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919-1992)
By: edited by Rafał Ablamowicz, Pertti Lounesto
Contributors: Lounesto, Pertti
Series: Mathematics and Its Applications -- 321; Mathematics and Its Applications -- 321.
Publisher: Springer Netherlands; Imprint: Springer
Published: 1995
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 425
ISBN-13: 9789401584227
Subjects: Group theory; Algebra; Associative Rings and Algebras; Mathematical and Computational Physics Theoretical; Group Theory and Generalizations; Quantum Physics; Quantum theory; Mathematics
Description: 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.