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Clifford Algebras and Spinor Structures - pocketboek

2010, ISBN: 9789048145256

[ED: Softcover], [PU: Springer Netherlands], This volume is dedicated to the memory of Albert Crumeyrolle, who died on June 17, 1992. In organizing the volume we gave priority to: article… Meer...

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ISBN: 9789048145256

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, … Meer...

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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 diff… Meer...

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Rafal Ablamowicz; P. Lounesto:
Clifford Algebras and Spinor Structures - pocketboek

2010, ISBN: 9789048145256

A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919-1992), Softcover reprint of the original 1st ed. 1995, Softcover, Buch, [PU: Springer]

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

9789048145256


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.

Gedetalleerde informatie over het boek. - Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919-1992)


EAN (ISBN-13): 9789048145256
ISBN (ISBN-10): 9048145252
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
448 Bladzijden
Gewicht: 0,672 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-05-11T16:25:22+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-01-29T08:07:55+01:00 (Amsterdam)
ISBN/EAN: 9789048145256

ISBN - alternatieve schrijfwijzen:
90-481-4525-2, 978-90-481-4525-6
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: lounesto, pertti, albert peter, albert field, weyl joseph
Titel van het boek: clifford still, mathematics special, clifford spinor, near algebras, clifford algebra

Gegevens van de uitgever

Auteur: Rafal Ablamowicz; P. Lounesto
Titel: Mathematics and Its Applications; Clifford Algebras and Spinor Structures - A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919–1992)
Uitgeverij: Springer; Springer Netherland
425 Bladzijden
Verschijningsjaar: 2010-12-06
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,682 kg
Taal: Engels
128,39 € (DE)
131,99 € (AT)
141,50 CHF (CH)
POD
XX, 425 p.

BC; Associative Rings and Algebras; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Dirac equation; Maxwell's equation; algebra; clifford algebra; complex analysis; differential geometry; eigenvalue; field; geometry; linear algebra; manifold; mechanics; quantum mechanics; Quantum Physics; Theoretical, Mathematical and Computational Physics; Group Theory and Generalizations; Associative Rings and Algebras; Quantum Physics; Theoretical, Mathematical and Computational Physics; Group Theory and Generalizations; Quantenphysik (Quantenmechanik und Quantenfeldtheorie); Mathematische Physik; Gruppen und Gruppentheorie

Preface/Avant-propos. La démarche algébrique d'un géomètre; A. Micali. List of publications of Albert Crumeyrolle (1919--1992). Ph.D. theses written under the supervision of Albert Crumeyrolle. Historical Survey:- Some Clifford algebra history; A. Diek, R. Kantowski. Clifford Algebras:- Tensors and Clifford algebra; A. Charlier, M.-F. Charlier, A. Roux. Sur les algèbres de Clifford III; A. Micali. Finite geometry, Dirac groups and the table of real Clifford algebras; R. Shaw. Clfford algebra techniques in linear algebra; G. Sobczyk. Crumeyrolle/Chevalley, Weyl, Pure and Majorana Spinors:- Construction of spinors via Witt decomposition and primitive idempotents: a review; R. Ablamowicz. Crumeyrolle-Chevalley-Riesz spinors and covariance; G. Jones, W.E. Baylis. Twistors as geometric objects in spacetime; J. Keller. Crumeyrolle's bivectors and spinors; P. Lounesto. On the relationships between the Dirac spinors and Clifford subalgebra Cl+1,3; F. Piazzese. Spinor fields and superfields as equivalence classes of exterior algebra fields; W.A. Rodrigues Jr., Q.A.G. de Souza, J. Vaz Jr. Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theorem; S. Rodríguez-Romo. Spinors from a differential point of view; M. Rosenbaum, C.P. Luehr, H. Harleston. Dirac Operator, Maxwell's Equations, and Conformal Covariance:- Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifolds; H. Baum, Th. Friedrich. Dirac's field operator ; H.T. Cho, A. Diek, R. Kantowski. Biquaternionic formulation of Maxwell's equations and their solutions; K. Imaeda. The massless Dirac equation, Maxwell'sequations, and the application of Clifford algebras; P. Morgan. The conformal covariance of Huygens' principle-type formulae in Clifford analysis; J. Ryan. Clifford Analysis, Boundary Value Problems, Hermite Interpolants, and Padé Approximants:- Clifford-valued functions in &mathsC;l3; W.E. Baylis, B. Jancewicz. Clifford analysis and elliptic boundary value problems; K. Gürlebeck, W. Sprösig. A complete boundary collocation system; F. Kippig. On the algebraic foundations of the vector &egr;-algorithm; D.E. Roberts. Clifford Algebras and Generalizations:- Classical spinor structures on quantum spaces; M. urðević. A unified metric; B.M. Kemmell. Quantum braided Clifford algebras; J. Ławrynowicz, L.C. Papaloucas, R. Rembieliński>. Clifford algebra for Hecke braid; Z. Oziewicz. Index.

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