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010   $a9786613144867
010   $a981-4317-57-8
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100   $a20110712d2010      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aGrassmannians of classical building$b[electronic resource] /$fMark Pankov
210   $aSingapore ;$aHackensack, N.J. $cWorld Scientific Pub. Co.$d2010
215   $a1 online resource (230 p.)
225 1 $aAlgebra and discrete mathematics,$x1793-5873 ;$vv.2
300   $aDescription based upon print version of record.
311   $a981-4317-56-X 
320   $aIncludes bibliographical references and index.
327   $aPreface; Contents; 0. Introduction; 1. Linear Algebra and Projective Geometry; 2. Buildings and Grassmannians; 3. Classical Grassmannians; 4. Polar and Half-Spin Grassmannians; Bibliography; Index
330   $aBuildings are combinatorial constructions successfully exploited to study groups of various types. The vertex set of a building can be naturally decomposed into subsets called Grassmannians. The book contains both classical and more recent results on Grassmannians of buildings of classical types. It gives a modern interpretation of some classical results from the geometry of linear groups. The presented methods are applied to some geometric constructions non-related to buildings - Grassmannians of infinite-dimensional vector spaces and the sets of conjugate linear involutions. The book is self
410  0$aAlgebra and discrete mathematics (World Scientific (Firm)) ;$vv. 2.
606   $aGrassmann manifolds
606   $aBuildings (Group theory)
615  0$aGrassmann manifolds.
615  0$aBuildings (Group theory)
676   $a514.34
700   $aPankov$b Mark$01466141
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788557303321
996   $aGrassmannians of classical building$93676453
997   $aUNINA