| Grassmannians of Classical Buildings(v2) Contributor(s): Mark Pankov (Author) |
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ISBN: 981431756X ISBN-13: 9789814317566 Publisher: World Scientific Publishing Company OUR PRICE: $76.00 Product Type: Hardcover - Other Formats Published: January 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Combinatorics - Mathematics | Discrete Mathematics - Mathematics | Algebra - General |
| Dewey: 514.34 |
| Series: Algebra and Discrete Mathematics |
| Physical Information: 0.8" H x 6.1" W x 9" (1.15 lbs) 224 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |