000 02847nam a22004815i 4500
001 978-3-540-47921-5
003 DE-He213
005 20190213151428.0
007 cr nn 008mamaa
008 121227s1987 gw | s |||| 0|eng d
020 _a9783540479215
_9978-3-540-47921-5
024 7 _a10.1007/BFb0078217
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
072 7 _aPBMW
_2thema
082 0 4 _a516.35
_223
100 1 _aNeher, Erhard.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aJordan Triple Systems by the Grid Approach
_h[electronic resource] /
_cby Erhard Neher.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1987.
300 _aXIV, 194 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1280
505 0 _aSpecial families of compatible tripotents -- Classification of grids -- Coordinatization theorems -- Classifications.
520 _aGrids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.
650 0 _aGeometry, algebraic.
650 0 _aAlgebra.
650 1 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662191019
776 0 8 _iPrinted edition:
_z9783540183624
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1280
856 4 0 _uhttps://doi.org/10.1007/BFb0078217
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10640
_d10640