Berry–Robbins problem

In mathematics, the Berry–Robbins problem asks whether there is a continuous map from configurations of n points in R³ to the flag manifold U(n)/Tⁿ that is compatible with the action of the symmetric group on n points.

References

• Berry, Michael V.; Robbins, J. M. (1997), "Indistinguishability for quantum particles: spin, statistics and the geometric phase", Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences, 453 (1963): 1771–1790, doi:10.1098/rspa.1997.0096, ISSN 0962-8444, MR1469170
• Atiyah, Michael (2000), "The geometry of classical particles", Surveys in differential geometry, Surv. Differ. Geom., VII, Int. Press, Somerville, MA, pp. 1–15, MR1919420