Configurations of points

@article{Atiyah2001ConfigurationsOP,
  title={Configurations of points},
  author={Michael Francis Atiyah},
  journal={Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
  year={2001},
  volume={359},
  pages={1375 - 1387}
}
  • M. Atiyah
  • Published 2001
  • Mathematics
  • Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
Berry & Robbins, in their discussion of the spin–statistics theorem in quantum mechanics, were led to ask the following question. Can one construct a continuous map from the configuration space of n distinct particles in 3–space to the flag manifold of the unitary group U(n)? I shall discuss this problem and various generalizations of it. In particular, there is a version in which U(n) is replaced by an arbitrary compact Lie group. It turns out that this can be treated using Nahm's equations… Expand

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  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
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There is a very natural map from the configuration space of n distinct points in Euclidean 3–space into the flag manifold U(n)/U(1)n, which is compatible with the action of the symmetric group. TheExpand
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