Grassmannians Of Classical Buildings
Seiten
2010
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4317-56-6 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4317-56-6 (ISBN)
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 results on Grassmannians of buildings of classical types.
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.
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.
Linear Algebra and Projective Geometry; Buildings and Grassmannians; Classical Grassmannians; Polar and Half-Spin Grassmannians.
| Reihe/Serie | Algebra And Discrete Mathematics ; 2 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 981-4317-56-X / 981431756X |
| ISBN-13 | 978-981-4317-56-6 / 9789814317566 |
| Zustand | Neuware |
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