Grassmannians of classical buildings /
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Author / Creator: | Pankov, Mark. |
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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 |
ISBN: | 9789814317573 9814317578 1283144867 9781283144865 9789814317566 981431756X 9786613144867 661314486X |
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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 |
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