ENGLISH

Grassmannians of Classical Buildings (Algebra and Discrete Mathematics)

By Mark Pankov

Book information

Publisher
World Scientific Publishing Company
Year
2010
ISBN
981431756X, 9789814317566
Language
english
Format
PDF
Filesize
2 MB (1869275 bytes)
Series
Algebra and Discrete Mathematics 2
Pages
225\225
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

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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