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Paper: Considerations on the
Theory of Spinors: an overview

Considerations on the Theory
of Spinors: an overview

Authors:
I. C. Baianu
Record added by: bci1

Comments:

2008 update, preprint

Description:

One of the great mathematicians and mathematical
physicists of the 20th century, E'lie Cartan worked
intensely on the group of rotations in n-dimensional
Euclidean spaces and spinors in three-dimensional
space. In his fundamental book on the theory of
spinors ("The Theory of Spinors", 1966 by Hermann,
Paris) in n-dimensional Euclidean spaces, and also in
the special relativity Minkowski space, he developed
all the fundamental concepts in a mathematically
rigorous manner. The final chapters of his spinor book
focused on the connection between the spinors and the
Lorentz group of transformations, including also in a
later section connections with Einstein's general
relativity theory. However, it concluded
disappointingly that fields of spinors cannot be
"introduced into the classical Riemannian technique".
The spinor theory is re-considered in the light of QFT
and QED theories in modern quantum physics, and still
draws substantial attention from mathematicians.
http://arxiv.org/pdf/hep-th/0012203
http://www.emis.de/newsletter/newsletter36.pdf
http://www.sciencetimeline.net/bibliography.htm

Rights:

Open

AMS MSC:

15A66
(Linear and multilinear algebra;
matrix theory :: Clifford algebras,
spinors)

11-00
(Number theory :: General reference
works )

11E88
(Number theory :: Forms and linear
algebraic groups :: Quadratic spaces; Clifford
algebras)

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