Grassmannians of Classical Buildings

Pankov Mark

ISBN 10: 981431756X / ISBN 13: 9789814317566

Verlag: World Scientific Publishing Company, 2011

Brand New Original US Edition. Customer service! Satisfaction Guaranteed. Bestandsnummer des Verkäufers ASNT3-201953

Inhaltsangabe:

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.

Von der hinteren Coverseite: 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.

Bibliografische Details

Titel: Grassmannians of Classical Buildings
Verlag: World Scientific Publishing Company
Erscheinungsdatum: 2011
Einband: Hardcover
Zustand: New