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Record Nr. |
UNINA9910464235103321 |
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Autore |
Pankov Mark |
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Titolo |
Grassmannians of classical building [[electronic resource] /] / Mark Pankov |
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Pubbl/distr/stampa |
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Singapore ; ; Hackensack, N.J., : World Scientific Pub. Co., 2010 |
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ISBN |
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1-283-14486-7 |
9786613144867 |
981-4317-57-8 |
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Descrizione fisica |
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1 online resource (230 p.) |
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Collana |
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Algebra and discrete mathematics, , 1793-5873 ; ; v.2 |
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Disciplina |
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Soggetti |
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Grassmann manifolds |
Buildings (Group theory) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Preface; Contents; 0. Introduction; 1. Linear Algebra and Projective Geometry; 2. Buildings and Grassmannians; 3. Classical Grassmannians; 4. Polar and Half-Spin Grassmannians; Bibliography; Index |
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Sommario/riassunto |
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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 - Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions. The book is self |
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