An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Homogeneous Spaces, Tits Buildings, and Isoparametric Hypersurfaces

Linus Kramer Universität Würzburg, Würzburg, Germany
Available Formats:
Electronic ISBN: 978-1-4704-0345-4
Product Code: MEMO/158/752.E
List Price: $62.00 MAA Member Price:$55.80
AMS Member Price: $37.20 Click above image for expanded view Homogeneous Spaces, Tits Buildings, and Isoparametric Hypersurfaces Linus Kramer Universität Würzburg, Würzburg, Germany Available Formats:  Electronic ISBN: 978-1-4704-0345-4 Product Code: MEMO/158/752.E  List Price:$62.00 MAA Member Price: $55.80 AMS Member Price:$37.20
• Book Details

Memoirs of the American Mathematical Society
Volume: 1582002; 114 pp
MSC: Primary 51; 53; Secondary 57;

We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mathbb{S}^{n_1}\times\mathbb{S}^{n_2}$, 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.

Graduate students and research mathematicians interested in geometry.

• Chapters
• 1. The Leray-Serre spectral sequence
• 2. Ranks of homotopy groups
• 3. Some homogeneous spaces
• 4. Representations of compact Lie groups
• 5. The case when $G$ is simple
• 6. The case when $G$ is semisimple
• 8. Homogeneous focal manifolds
• Request Review Copy
• Get Permissions
Volume: 1582002; 114 pp
MSC: Primary 51; 53; Secondary 57;

We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mathbb{S}^{n_1}\times\mathbb{S}^{n_2}$, 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.

• 5. The case when $G$ is simple
• 6. The case when $G$ is semisimple