000 03086nam a22005535i 4500
001 978-3-540-48402-8
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007 cr nn 008mamaa
008 121227s1999 gw | s |||| 0|eng d
020 _a9783540484028
_9978-3-540-48402-8
024 7 _a10.1007/BFb0096285
_2doi
050 4 _aQA252.3
050 4 _aQA387
072 7 _aPBG
_2bicssc
072 7 _aMAT014000
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.55
_223
082 0 4 _a512.482
_223
100 1 _aKoecher, Max.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Minnesota Notes on Jordan Algebras and Their Applications
_h[electronic resource] /
_cby Max Koecher ; edited by Aloys Krieg, Sebastian Walcher.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1999.
300 _aXII, 184 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 ;
_v1710
505 0 _aDomains of Positivity -- Omega Domains -- Jordan Algebras -- Real and Complex Jordan Algebras -- Complex Jordan Algebras -- Jordan Algebras and Omega Domains -- Half-Spaces -- Appendix: The Bergman kernel function.
520 _aThis volume contains a re-edition of Max Koecher's famous Minnesota Notes. The main objects are homogeneous, but not necessarily convex, cones. They are described in terms of Jordan algebras. The central point is a correspondence between semisimple real Jordan algebras and so-called omega-domains. This leads to a construction of half-spaces which give an essential part of all bounded symmetric domains. The theory is presented in a concise manner, with only elementary prerequisites. The editors have added notes on each chapter containing an account of the relevant developments of the theory since these notes were first written.
650 0 _aTopological Groups.
650 0 _aDifferential equations, partial.
650 0 _aAlgebra.
650 1 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
650 2 4 _aSeveral Complex Variables and Analytic Spaces.
_0http://scigraph.springernature.com/things/product-market-codes/M12198
650 2 4 _aNon-associative Rings and Algebras.
_0http://scigraph.springernature.com/things/product-market-codes/M11116
700 1 _aKrieg, Aloys.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aWalcher, Sebastian.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662162750
776 0 8 _iPrinted edition:
_z9783540663607
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1710
856 4 0 _uhttps://doi.org/10.1007/BFb0096285
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c12205
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