From: Subject: PlanetMath: Considerations on the Theory of Spinors: an overview Date: Sun, 15 Feb 2009 16:44:14 -0600 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01C98F8C.A2FBBC90" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.3350 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01C98F8C.A2FBBC90 Content-Type: text/html; charset="utf-8" Content-Transfer-Encoding: quoted-printable Content-Location: http://planetmath.org/?op=getobj&from=papers&id=490 =EF=BB=BF PlanetMath: Considerations on the Theory of Spinors: = an overview
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Paper: Considerations on = the=20 Theory of Spinors: an overview=20 =

Considerations on = the Theory=20 of Spinors: an = overview


Authors:=20 I. C. Baianu
Record added by: bci1=20
Comments:=20
2008 update, preprint=20
Description:=20
One of the great mathematicians and = mathematical=20 physicists of the 20th century, E'lie Cartan = worked=20 intensely on the group of rotations in = n-dimensional=20 Euclidean spaces and spinors in = three-dimensional=20 space. In his fundamental book on the theory = of=20 spinors ("The Theory of Spinors", 1966 by = Hermann,=20 Paris) in n-dimensional Euclidean spaces, and = also in=20 the special relativity Minkowski space, he = developed=20 all the fundamental concepts in a = mathematically=20 rigorous manner. The final chapters of his = spinor book=20 focused on the connection between the spinors = and the=20 Lorentz group of transformations, including = also in a=20 later section connections with Einstein's = general=20 relativity theory. However, it concluded=20 disappointingly that fields of spinors cannot = be=20 "introduced into the classical Riemannian = technique".=20 The spinor theory is re-considered in the = light of QFT=20 and QED theories in modern quantum physics, = and still=20 draws substantial attention from = mathematicians.=20 http://arxiv.org/pdf/hep-th/0012203=20 http://www.emis.de/newsletter/newsletter36.pdf = = http://www.sciencetimeline.net/bibliography.htm=20
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AMS MSC:  15A66=20 (Linear and multilinear = algebra;=20 matrix theory :: Clifford algebras,=20 spinors)
  11-00=20 (Number theory :: General = reference=20 works )
  11E88=20 (Number theory :: Forms = and linear=20 algebraic groups :: Quadratic spaces; = Clifford=20 = algebras)
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