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GRASSMANNIANS OF CLASSICAL BUILDINGS
by PANKOV, MARK
Categories: Mathematics Combinatorics and Graph Theory
ISBN: 981431756X   - ISBN 13: 9789814317566
AAB Internal Code: 5503562

Pubblication year: 2010
Arrival date: 23/12/2010
Published by: World Scientific Publishing Co. Ltd - Itaab C/25

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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