JORDAN STRUCTURES IN GEOMETRY AND ANALYSIS by Cho-Ho Chu ( 9781139060165 )

Item Details

Title:

JORDAN STRUCTURES IN GEOMETRY AND ANALYSIS

By:

Format:

Electronic book text

List price:	£102.00
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ISBN 10:

1139060163

ISBN 13:

9781139060165

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

5 December, 2011

Series:

Cambridge Tracts in Mathematics 190

Description:

Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

Synopsis:

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 Tits-Kantor-Koecher construction of Lie algebras; a Jordan algebraic approach to infinite dimensional symmetric manifolds including Riemannian symmetric spaces; the one-to-one 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.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

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