02619nam 2200601 a 450 991078855730332120230725045550.01-283-14486-79786613144867981-4317-57-8(CKB)3360000000001399(EBL)731314(OCoLC)740446103(SSID)ssj0000636041(PQKBManifestationID)12207460(PQKBTitleCode)TC0000636041(PQKBWorkID)10653030(PQKB)10273016(MiAaPQ)EBC731314(WSP)00001142 (Au-PeEL)EBL731314(CaPaEBR)ebr10480024(CaONFJC)MIL314486(EXLCZ)99336000000000139920110712d2010 uy 0engur|n|---|||||txtccrGrassmannians of classical building[electronic resource] /Mark PankovSingapore ;Hackensack, N.J. World Scientific Pub. Co.20101 online resource (230 p.)Algebra and discrete mathematics,1793-5873 ;v.2Description based upon print version of record.981-4317-56-X Includes bibliographical references and index.Preface; Contents; 0. Introduction; 1. Linear Algebra and Projective Geometry; 2. Buildings and Grassmannians; 3. Classical Grassmannians; 4. Polar and Half-Spin Grassmannians; Bibliography; IndexBuildings 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 selfAlgebra and discrete mathematics (World Scientific (Firm)) ;v. 2.Grassmann manifoldsBuildings (Group theory)Grassmann manifolds.Buildings (Group theory)514.34Pankov Mark1466141MiAaPQMiAaPQMiAaPQBOOK9910788557303321Grassmannians of classical building3676453UNINA