Overview
Buildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains both classical and more recent results on Grassmannians of buildings of classical types. It gives a modern interpretation of some classical results from the geometry of linear groups. The presented methods are applied to some geometric constructions non-related to buildings -- Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions.The book is self-contained and the requirement for the reader is a knowledge of basic algebra and graph theory. This makes it very suitable for use in a course for graduate students.
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Details
- ISBN-13: 9789814317566
- ISBN-10: 981431756X
- Publisher: World Scientific Publishing Company
- Publish Date: January 2011
- Dimensions: 9 x 6.1 x 0.8 inches
- Shipping Weight: 1.15 pounds
- Page Count: 224
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