Abłamowicz, Rafał (ed.); Lounesto, Pertti (ed.) Clifford algebras and spinor structures. A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992). (English) Zbl 0824.00014 Mathematics and its Applications (Dordrecht). 321. Dordrecht: Kluwer Academic Publishers. xx, 421 p. $ 166.50; Dfl. 260.00; £107.00 (1995). Show indexed articles as search result. The articles of this volume will be reviewed individually. From the preface: 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.Indexed articles:Diek, Adel; Kantowski, R., Some Clifford algebra history, 3-12 [Zbl 0836.15009]Charlier, Alphonse; Charlier, Marie-France; Roux, André, Tensors and Clifford algebra, 15-38 [Zbl 0843.15012]Micali, Artibano, On Clifford algebras III, 39-57 [Zbl 0843.15015]Shaw, R., Finite geometry, Dirac groups and the table of real Clifford algebras, 59-99 [Zbl 0839.20016]Micali, Artibano, Albert Crumeyrolle, the algebraic demarche of a geometer, IX-XX [Zbl 0833.01021]Sobczyk, Garret, Clifford algebra techniques in linear algebra, 101-109 [Zbl 0836.15012]Abłamowicz, Rafał, Construction of spinors via Witt decomposition and primitive idempotents: A review, 113-123 [Zbl 0838.15018]Jones, George; Baylis, W. E., Crumeyrolle-Chevalley-Riesz spinors and covariance, 125-132 [Zbl 0839.15023]Keller, Jaime, Twistors as geometric objects in spacetime, 133-135 [Zbl 0843.15013]Lounesto, Pertti, Crumeyrolle’s bivectors and spinors, 137-166 [Zbl 0836.15010]Imaeda, K., Biquaternionic formulation of Maxwell’s equations and their solutions, 165-280 [Zbl 0841.15026]Piazzese, Franco, On the relationships between the Dirac spinors and Clifford subalgebra \(C\ell_{1,3}^ +\), 167-176 [Zbl 0836.15011]Rodrigues, Waldyr A. jun.; de Souza, Quintino A. G.; Vaz, Jayme jun., Spinor fields and superfields as equivalence classes of exterior algebra fields, 177-198 [Zbl 0838.15019]Rodríguez-Romo, Suemi, Chevalley-Crumeyrolle spinors in McKane-Parisi-Sourlas theorem, 199-204 [Zbl 0838.15020]Rosenbaum, M.; Luehr, C. P.; Harleston, H., Spinors from a differential geometric point of view, 205-240 [Zbl 0847.53007]Baum, Helga; Friedrich, Thomas, Eigenvalues of the Dirac operator, twistors and Killing spinors on Riemannian manifolds, 243-256 [Zbl 0844.53036]Cho, H. T.; Diek, Adel; Kantowski, R., Dirac’s field operator \(\Psi\), 257-263 [Zbl 0865.15028]Morgan, Peter, The massless Dirac equation, Maxwell’s equations, and the application of Clifford algebras, 281-300 [Zbl 0865.15029]Ryan, John, The conformal covariance of Huygens’ principle-type integral formulae in Clifford analysis, 301-310 [Zbl 0838.15021]Baylis, W. E.; Jancewicz, Bernard, Clifford-valued functions in \(C\ell_ 3\), 313-324 [Zbl 0836.15013]Gürlebeck, Klaus; Sprößig, Wolfgang, Clifford-analysis and elliptic boundary value problems, 325-334 [Zbl 0837.35040]Kippig, Frank, A complete boundary collocation system, 335-342 [Zbl 0837.15024]Roberts, D. E., On the algebraic foundations of the vector \(\epsilon\)-algorithm, 343-361 [Zbl 0840.65003]Đurđević, Mićo, Classical spinor structures on quantum spaces, 365-377 [Zbl 0840.53017]Kemmell, Bruce M., A unified metric, 379-385 [Zbl 0840.53014]Ławrynowicz, Julian; Papaloucas, Loucas C.; Rembieliński, Jakub, Quantum braided Clifford algebras, 387-395 [Zbl 0843.15014]Oziewicz, Zbigniew, Clifford algebra for Hecke braid, 397-411 [Zbl 0845.15011] MSC: 00B15 Collections of articles of miscellaneous specific interest 15-06 Proceedings, conferences, collections, etc. pertaining to linear algebra 15A66 Clifford algebras, spinors Keywords:Clifford algebras; Spinor structures Biographic References: Crumeyrolle, Albert PDFBibTeX XMLCite \textit{R. Abłamowicz} (ed.) and \textit{P. Lounesto} (ed.), Clifford algebras and spinor structures. A special volume dedicated to the memory of Albert Crumeyrolle (1919-1992). Dordrecht: Kluwer Academic Publishers (1995; Zbl 0824.00014)