Grassmannians of classical buildings
著者
書誌事項
Grassmannians of classical buildings
（Algebra and discrete mathematics, v. 2）
World Scientific, c2010
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注記
Includes bibliographical references (p. 207-210) and index
内容説明・目次
内容説明
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.
目次
- Linear Algebra and Projective Geometry
- Buildings and Grassmannians
- Classical Grassmannians
- Polar and Half-Spin Grassmannians.
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