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.
| Autorius: | Mark Pankov |
| Leidėjas: | World Scientific |
| Išleidimo metai: | 2010 |
| Knygos puslapių skaičius: | 226 |
| ISBN-10: | 981431756X |
| ISBN-13: | 9789814317566 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Combinatorics and graph theory |
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