Buildings [electronic resource] : Theory and Applications / by Peter Abramenko, Kenneth S. Brown.
Record details
- ISBN: 9780387788357
- Physical Description: XXII, 754p. 100 illus. online resource.
- Publisher: New York, NY : Springer New York, 2008.
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| Subject: | Mathematics. Geometry, algebraic. Group theory. Topological Groups. Mathematics. Group Theory and Generalizations. Algebraic Geometry. Topological Groups, Lie Groups. |
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Electronic resources
| Introduction | ||
| Finite reflection groups | ||
| Coxeter groups | ||
| Coxeter complexes | ||
| Buildings as chamber complexes | ||
| Buildings as W-metric spaces | ||
| Buildings and groups | ||
| Root groups and the Moufang property | ||
| Moufang twin buildings and RGD systems | ||
| The classification of spherical buildings | ||
| Euclidean and hyperbolic reflection groups | ||
| Euclidean buildings | ||
| Buildings as metric spaces | ||
| Applications to the cohomology of groups | ||
| Other applications | ||
| Cell complexes | ||
| Root systems | ||
| Algebraic groups. |