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Abstract: In the context of non-commutative geometries, we develop a group Fourier transform for the Lie group SU(2). Our method is based on the Schwinger representation of the Lie algebra su(2) in te...
Clifford Algebras and Spinors     Clifford Algebras  Spinors  History and Overview       font style='font-size:12px;'> 2011/7/26
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 particula...
Abstract: We show that in the analytic category, given a Riemannian metric $g$ on a hypersurface of a smooth manifold, and a symmetric tensor $W$ on this hypersurface, $g$ can be locally extended to a...
Spinors and Positive Mass     Spinors  Positive Mass       font style='font-size:12px;'> 2010/4/15
As an example of how spinor methods can be applied to the positive-mass theorem, a simple, spinor-based proof of the theorem is presented for the case of a single black hole. Generalisations of the th...

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