Description

Book Synopsis
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.

Table of Contents
Linear Algebra and Projective Geometry; Buildings and Grassmannians; Classical Grassmannians; Polar and Half-Spin Grassmannians.

Grassmannians Of Classical Buildings

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A Hardback by Mark Pankov

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    View other formats and editions of Grassmannians Of Classical Buildings by Mark Pankov

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 01/09/2010
    ISBN13: 9789814317566, 978-9814317566
    ISBN10: 981431756X
    Also in:
    Combinatorics and graph theory

    Description

    Book Synopsis
    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.

    Table of Contents
    Linear Algebra and Projective Geometry; Buildings and Grassmannians; Classical Grassmannians; Polar and Half-Spin Grassmannians.

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