Homogeneous Spaces, Tits Buildings and Isoparametric Hypersurfaces

Buch | Softcover

114 Seiten

2002
American Mathematical Society (Verlag)
978-0-8218-2906-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	1.7.2002
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	bibliography
Verlagsort	Providence
Sprache	englisch
Gewicht	255 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-2906-8 / 0821829068
ISBN-13	978-0-8218-2906-6 / 9780821829066
Zustand	Neuware