Algebra And Discrete Mathematics: Grassmannians Of Classical Buildings (PDF)
(Sprache: Englisch)
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...
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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 â 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.
Bibliographische Angaben
- Autor: Mark Pankov
- 2010, 224 Seiten, Englisch
- Verlag: World Scientific Publishing Company
- ISBN-10: 9814317578
- ISBN-13: 9789814317573
- Erscheinungsdatum: 31.08.2010
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- Größe: 2.42 MB
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