A01=Mark Pankov
Author_Mark Pankov
Category=PBV
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Geometrical Mappings
Grassmannian
Projective and Polar Spaces
Tits Building
Product details
- ISBN 9789814317566
- Publication Date: 01 Sep 2010
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
