Clifford Algebras and Spinors

Abstract

Expository notes on Clifford algebras and spinors with a detailed discussion of Majorana, Weyl, and Dirac spinors. The paper is meant as a review of background material, needed, in particular, in now fashionable theoretical speculations on neutrino masses. It has a more mathematical flavour than the over twenty-seven-year-old "Introduction to Majorana masses" by P.D. Mannheim and includes historical notes and biographical data on past participants in the story.

Lecture notes prepared together with Dimitar Nedanovski (e-mail: [email protected]), 32 pages. References added; footnote amended

References in corpus (10)

• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• A Lorentzian version of the non-commutative geometry of the standard model of particle physics
• Noncommutative Geometry and the standard model with neutrino mixing
• Noncommutative Geometry as a Framework for Unification of all Fundamental Interactions including Gravity. Part I
• Neutrinoless Double Beta-Decay
• Almost-Commutative Geometry, massive Neutrinos and the Orientability Axiom in KO-Dimension 6
• Seesaw and noncommutative geometry
• Space-Time from the spectral point of view
• Probing the Origin of Neutrino Mass: from GUT to LHC
• Bruno Pontecorvo: mister neutrino

Cited by in corpus (6)

• Clifford Algebras in Symplectic Geometry and Quantum Mechanics
• Quantum tomography for Dirac spinors
• On the real representations of the Poincare group
• Neutrino, parity violaton, V-A: a historical survey
• Linear and angular momentum spaces for Majorana spinors
• The Majorana spinor representation of the Poincare group