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EQUIVARIANT COHOMOLOGY AND REPRESENTATIONS OF THE SYMMETRIC GROUP

EQUIVARIANT COHOMOLOGY AND REPRESENTATIONS OF THE SYMMETRIC GROUP
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摘要 In a recent paper the author constructed a continuous map from the configuration space of n distinct ordered points in 3-space to the flag manifold of the unitary group U(n), which is compatible with the action of the symmetric group. This map is also compatible with appropriate actions of the rotation group SO(3). In this paper the author studies the induced homomorphism in SO(3)-equivariant cohomology and shows that this contains much interesting information involving representations of the symmetric group.
作者 M. ATIYAH
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第1期23-30,共8页 数学年刊(B辑英文版)
关键词 COHOMOLOGY Symmetric group Rotation group 同变上同调 对称群 旋转群 连续映射
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参考文献2

  • 1Roger Bielawski.Monopoles and the Gibbons–Manton Metric[J].Communications in Mathematical Physics.1998(2)
  • 2Graeme Segal.Equivariant K-theory[J].Publications Mathématiques de l’Institut des Hautes Scientifiques.1968(1)

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