Grassmannians of classical buildings /

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Bibliographic Details
Author / Creator:Pankov, Mark.
Imprint:Singapore ; Hackensack, NJ : World Scientific, ©2010.
Description:1 online resource (xii, 212 pages) : illustrations
Language:English
Series:Algebra and discrete mathematics, 1793-5873 ; v. 2
Algebra and discrete mathematics (World Scientific (Firm)) ; v. 2.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11258664
Hidden Bibliographic Details
ISBN:9789814317573
9814317578
1283144867
9781283144865
9789814317566
981431756X
9786613144867
661314486X
Digital file characteristics:data file
Notes:Includes bibliographical references (pages 207-210) and index.
English.
Print version record.
Summary: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.
Other form:Print version: Pankov, Mark. Grassmannians of classical buildings. Singapore ; Hackensack, NJ : World Scientific, ©2010 9789814317566