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Grassmannians of classical buildings /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pankov, Mark
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2010.
Colección:Algebra and discrete mathematics (World Scientific (Firm)) ; v. 2.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (xii, 212 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 207-210) and index.
ISBN:9789814317573
9814317578
1283144867
9781283144865
9786613144867
661314486X
ISSN:1793-5873 ;