02737nam 2200613 450 99646663520331620220216134538.03-540-48402-710.1007/BFb0096285(CKB)1000000000437302(SSID)ssj0000324852(PQKBManifestationID)12080858(PQKBTitleCode)TC0000324852(PQKBWorkID)10320423(PQKB)11481917(DE-He213)978-3-540-48402-8(MiAaPQ)EBC5595528(Au-PeEL)EBL5595528(OCoLC)1076231136(MiAaPQ)EBC6860876(Au-PeEL)EBL6860876(PPN)155204890(EXLCZ)99100000000043730220220216d1999 uy 0engurnn|008mamaatxtccrThe Minnesota notes on Jordan algebras and their applications /Max Koecher ; edited and annotated by Aloys Krieg and Sebastian Walcher1st ed. 1999.Berlin :Springer,[1999]©19991 online resource (XII, 184 p.) Lecture notes in mathematics (Springer-Verlag) ;1710Bibliographic Level Mode of Issuance: Monograph3-540-66360-6 Includes bibliographical references and index.Domains 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.This 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.Lecture notes in mathematics (Springer-Verlag) ;1710.Jordan algebrasJordan algebras.512.24Koecher Max62857Krieg Aloys1955-Walcher SebastianMiAaPQMiAaPQMiAaPQBOOK996466635203316Minnesota notes on Jordan algebras and their applications78814UNISA