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Grassmannians of Classical Buildings(v2)

Grassmannians of Classical Buildings(v2)

Hardcover

Series: Algebra and Discrete Mathematics, Book 2

AlgebraGeneral Mathematics

ISBN10: 981431756X
ISBN13: 9789814317566
Publisher: World Scientific Publishing Company
Published: Jan 30 2011
Pages: 224
Weight: 1.15
Height: 0.80 Width: 6.10 Depth: 9.00
Language: English
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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