Covariant, algebraic, and operator spinors

DOI10.1007/BF00674438zbMath0699.53019OpenAlexW2011545203MaRDI QIDQ913263

V. L. Figueiredo, Edmundo Capelas de Oliveira, Waldyr Alves jun. Rodrigues

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00674438

zbMATH Keywords

spinorspin-Clifford bundlesspinor structure of space-time

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (15)

Observers, observables, spinors, and the confusion of tongues ⋮ Group-algebraic characterization of spin particles: semi-simplicity, \(\mathrm{SO}(2N)\) structure and Iwasawa decomposition ⋮ Clifford-like calculus over lattices ⋮ DOTTED AND UNDOTTED ALGEBRAIC SPINOR FIELDS IN GENERAL RELATIVITY ⋮ Algebraic and Dirac–Hestenes spinors and spinor fields ⋮ The Dirac-Hestenes equation and its relation with the relativistic de Broglie-Bohm theory ⋮ Maxwell and Dirac theories as an already unified theory ⋮ Dirac and Maxwell equations in the Clifford and spin-Clifford bundles ⋮ Generalized Weierstrass representation for surfaces in terms of Dirac-Hestenes spinor field ⋮ From Dirac spinor fields to eigenspinoren des ladungskonjugationsoperators ⋮ Dirac-Hestenes spinor fields on Riemann-Cartan manifolds ⋮ Majorana-Oppenheimer approach to Maxwell electrodynamics. I: Minkowski space ⋮ Generalization of Dirac conjugation in the superalgebraic theory of spinors ⋮ ON CLIFFORD SUBALGEBRAS, SPACETIME SPLITTINGS AND APPLICATIONS ⋮ Equivalence of Dirac and Maxwell equations and quantum mechanics

Cites Work

• Fermions without spinors
• Dirac and Maxwell equations in the Clifford and spin-Clifford bundles
• Real spin-Clifford bundle and the spinor structure of space-time
• The Clifford algebra of differential forms
• The Dirac equation in exterior form
• Remarks on pure spinors
• Connections on Clifford bundles and the Dirac operator
• Spinor structure of space-time
• Clifford modules
• Spin structures on manifolds
• "Spineurs simples", "Urfelder" and factorizations of Dirac equations and spinors
• Spinors in n Dimensions
• Global Existence of Spin Structures for Gravitational Fields
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