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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2010.
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Colección: | Algebra and discrete mathematics (World Scientific (Firm)) ;
v. 2. |
Temas: | |
Acceso en línea: | Texto completo |
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. |
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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 ; |