Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces
著者
書誌事項
Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces
（Memoirs of the American Mathematical Society, no. 752）
American Mathematical Society, 2002
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注記
"July 2002, volume 158, number 752 (third of 4 numbers)"
Includes bibliography (p. 110-114)
内容説明・目次
内容説明
We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mahtbb{S}^{n_1}\times\mathbb{S}^{n_2}$, with $3\leq n_1\leq n_2$ and $n_2$ odd. As an application, we classify compact generalized quadrangles (buildings of type $C_2)$ which admit a point transitive automorphism group, and isoparametric hypersurfaces which admit a transitive isometry group on one focal manifold.
目次
The Leray-Serre spectral sequence Ranks of homotopy groups Some homogeneous spaces Representations of compact Lie groups The case when $G$ is simple The case when $G$ is semisimple Homogeneous compact quadrangles Homogeneous focal manifolds Bibliography.
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