Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memor

Description: Clifford Algebras and Spinor Structures by Rafal Ablamowicz, P. Lounesto In organizing the volume we gave priority to: articles summarizing Crumeyrolles own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolles research interests and influence in the field, articles of high scientific quality which would be of general interest. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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 Crumeyrolles own work on exterior algebra and spinor structures. The depth and breadth of Crumeyrolles research interests and influence in the field is investigated in a number of articles. Of interest to physicists is the modern presentation of Crumeyrolles 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. Notes Springer Book Archives Table of Contents Table of Contents/Table des Matières.- Historical Survey.- Some Clifford algebra history.- Clifford Algebras.- Tensors and Clifford algebra.- Sur les algèbres de Clifford III.- Finite geometry, Dirac groups and the table of real Clifford algebras.- Clifford algebra techniques in linear algebra.- Crumeyrolle/Chevalley, Weyl, Pure and Majorana Spinors.- Construction of spinors via Witt decomposition and primitive idempotents: a review.- Crumeyrolle-Chevalley-Riesz spinors and covariance.- Twistors as geometric objects in spacetime.- Crumeyrolles bivectors and spinors.- On the relationships between the Dirac spinors and Clifford subalgebra Cl1,3+.- Spinor fields and superfields as equivalence classes of exterior algebra fields.- Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theorem.- Spinors from a differential geometric point of view.- Dirac Operator, Maxwells Equations, and Conformal Covariance.- Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifolds.- Diracs field operator ?.- Biquaternionic formulation of Maxwells equations and their solutions.- The massless Dirac equation, Maxwells equation, and the application of Clifford algebras.- The conformal covariance of Huygens principle-type integral formulae in Clifford analysis.- Clifford Analysis, Boundary Value Problems, Hermite Interpolants, and Padé Approximants.- Cliffor-valued functions in Cl3.- Clifford analysis and elliptic boundary value problems.- A complete boundary collocation system.- On the algebraic foundations of the vector ?-algorithm.- Clifford Algebras and Generalizations.- Classical spinor structures on quantum spaces.- A unified metric.- Quantum braided Clifford algebras.- Clifford algebra for Hecke braid. Promotional Springer Book Archives Long 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 Crumeyrolles own work in differential geometry, general relativity and spinors, articles which give the reader an idea of the depth and breadth of Crumeyrolles 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 Crumeyrolles 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. Details ISBN9048145252 Publisher Springer Year 2010 ISBN-10 9048145252 ISBN-13 9789048145256 Format Paperback Publication Date 2010-12-06 Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands Edited by P. Lounesto DEWEY 512.57 Edition 1st Short Title CLIFFORD ALGEBRAS & SPINOR STR Language English Media Book Series Number 321 Pages 425 Illustrations XX, 425 p. Series Mathematics and Its Applications Author P. Lounesto Edition Description Softcover reprint of the original 1st ed. 1995 Subtitle A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919–1992) Alternative 9780792333661 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96230341;

Price: 218.64 AUD

Location: Melbourne

End Time: 2025-01-14T05:32:59.000Z

Shipping Cost: 12.86 AUD