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There are also many types of spinors, including Weyl, Pauli, Majorana and pure spinors. This book aims to provide a systematic elementary and complete introduction to Clifford algebras and spinors for a wide audience of students and researchers in different fields. The pre-requisite is a course in linear algebra. It starts with a nice, concise and useful presentation of the historical background of Clifford algebras and their relations to exterior and Grassmann algebras.

The classification of Clifford algebras is then given together with the definition of the associated Pin and Spin groups.

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In the last chapter a systematic introduction to the world of spinors is given. Three categories of spinors are defined: algebraic, classical and operatorial.


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The authors' approach is very clear and elementary despite the formal and rather heavy algebraic aspects involved. The numerous concrete examples given to illustrate each new notion are valuable for a better understanding of the subject and are helpful for potential applications in different fields. For example, the triality principle in dimension 8, which has many applications in physics and in mathematics, is studied in detail.

States and Operators in the Spacetime Algebra. Geometrization of the Physics with Teleparallelism.

An introduction to Clifford algebras and spinors | UTS Library

Towards a Fully Geometric Dirac Equation. Vargas , Douglas G.


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Nikos Salingaros - - Foundations of Physics 15 6 A Dirac Algebraic Approach to Supersymmetry. Paolo Budinich - - Foundations of Physics 32 9 Geometric Significance of the Spinor Lie Derivative. Jhangiani - - Foundations of Physics 8 Octonionic Representations of Clifford Algebras and Triality.

Manogue - - Foundations of Physics 26 1 A Kinematical Model for Quarks and Hadrons.

Clifford Algebras and Spinors

Biedenharn , R. Cusson , M. Louck - - Foundations of Physics 2 Charles P. Farach - - Foundations of Physics 12 7 Vroegindeweij - - Foundations of Physics 23 11 Canonical Quantization of a Massive Weyl Field. Maxim Dvornikov - - Foundations of Physics 42 11 Spinors and Torsion in General Relativity. Space and Time in Philosophy of Physical Science. Edit this record. Mark as duplicate.

An Introduction to Clifford Algebras and Spinors

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The Zitterbewegung Interpretation of Quantum Mechanics. David Hestenes - - Foundations of Physics 20 10 David Hestenes - - Foundations of Physics 12 2 Report on Conference. Pertti Lounesto - - Foundations of Physics 16 9 Book Review.

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Johnson - - Foundations of Physics 26 2 Pertti Lounesto - - Foundations of Physics 11 States and Operators in the Spacetime Algebra. Geometrization of the Physics with Teleparallelism. Towards a Fully Geometric Dirac Equation.