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Homogeneous Spaces, Tits Buildings, and Isoparametric Hypersurfaces
Linus Kramer
出版American Mathematical Soc., 2002
主題Mathematics / Geometry / GeneralMathematics / Geometry / DifferentialMathematics / Group TheoryMathematics / Topology
ISBN08218290689780821829066
URLhttp://books.google.com.hk/books?id=G87UCQAAQBAJ&hl=&source=gbs_api
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註釋This title classifys 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mahtbb{S} DEGREES{n_1}\times\mathbb{S} DEGREES{n_2}$, with $3\leq n_1\leq n_2$ and $n_2$ odd. As an application, it classifys 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 f