In mathematics, the Berry–Robbins problem asks whether there is a continuous map from
configurations of ''n'' points in R
3 to the
flag manifold In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite-dimensional vector space ''V'' over a field F. When F is the real or complex numbers, a generalized flag variety is a s ...
''U''(''n'')/''T''
''n'' that is compatible with the
action
Action may refer to:
* Action (narrative), a literary mode
* Action fiction, a type of genre fiction
* Action game, a genre of video game
Film
* Action film, a genre of film
* ''Action'' (1921 film), a film by John Ford
* ''Action'' (1980 fil ...
of the
symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group ...
on ''n'' points. It was posed by and solved positively by .
See also
*
Atiyah conjecture on configurations
In mathematics, the Atiyah conjecture on configurations is a conjecture introduced by stating that a certain ''n'' by ''n'' matrix depending on ''n'' points in R3 is always non-singular
In the mathematical field of algebraic geometry, a singu ...
References
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Lie groups
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