• Corpus ID: 14538765

# Pure Spinors on Lie groups

@article{Alekseev2007PureSO,
title={Pure Spinors on Lie groups},
author={A. Alekseev and Henrique Bursztyn and Eckhard Meinrenken},
journal={arXiv: Differential Geometry},
year={2007}
}
• Published 1 September 2007
• Mathematics
• arXiv: Differential Geometry
For any manifold M, the direct sum TM \oplus T*M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for the corresponding Clifford bundle, and in particular there is a notion of \emph{pure spinor}. In this paper, we study pure spinors and Dirac structures in the case when M=G is a Lie group with a bi-invariant pseudo-Riemannian metric, e.g. G semi-simple. The applications of our theory include the construction of…
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