Jordan structures in geometry and analysis
 Responsibility
 ChoHo Chu.
 Language
 English.
 Imprint
 Cambridge, UK ; New York : Cambridge University Press, 2012.
 Physical description
 x, 261 p. : ill. ; 23 cm.
 Series
 Cambridge tracts in mathematics ; 190.
Access
Creators/Contributors
 Author/Creator
 Chu, ChoHo.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 251256) and index.
 Contents

 Preface 1. Jordan and Lie theory 2. Jordan structures in geometry 3. Jordan structures in analysis Bibliography Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Jordan theory has developed rapidly in the last three decades, but very few books describe its diverse applications. Here, the author discusses some recent advances of Jordan theory in differential geometry, complex and functional analysis, with the aid of numerous examples and concise historical notes. These include: the connection between Jordan and Lie theory via the TitsKantorKoecher construction of Lie algebras; a Jordan algebraic approach to infinite dimensional symmetric manifolds including Riemannian symmetric spaces; the onetoone correspondence between bounded symmetric domains and JB*triples; and applications of Jordan methods in complex function theory. The basic structures and some functional analytic properties of JB*triples are also discussed. The book is a convenient reference for experts in complex geometry or functional analysis, as well as an introduction to these areas for beginning researchers. The recent applications of Jordan theory discussed in the book should also appeal to algebraists.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2012
 Series
 Cambridge tracts in mathematics ; 190
 ISBN
 9781107016170 (hbk.)
 1107016177 (hbk.)