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Jordan structures in geometry and an...

Chu, Cho-Ho.

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Jordan structures in geometry and analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Jordan structures in geometry and analysis/ Cho-Ho Chu.
其他題名:	Jordan Structures in Geometry & Analysis
作者:	Chu, Cho-Ho.
出版者:	Cambridge :Cambridge University Press, : 2012.,
面頁冊數:	x, 261 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Jordan and lie theory -- Jordan structures in geometry -- Jordan structures in analysis.
標題:	Jordan algebras. -
電子資源:	https://doi.org/10.1017/CBO9781139060165
ISBN:	9781139060165

Jordan structures in geometry and analysis
Chu, Cho-Ho.

Jordan structures in geometry and analysis[electronic resource] /Jordan Structures in Geometry & AnalysisCho-Ho Chu. - Cambridge :Cambridge University Press,2012. - x, 261 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;190. - Cambridge tracts in mathematics ;190..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Jordan and lie theory -- Jordan structures in geometry -- Jordan structures in analysis.

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.

ISBN: 9781139060165Subjects--Topical Terms:

532065
Jordan algebras.

LC Class. No.: QA252.5 / .C49 2012

Dewey Class. No.: 512.1

Jordan structures in geometry and analysis
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Jordan and lie theory -- Jordan structures in geometry -- Jordan structures in analysis.
520 $a 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.
650 0 $a Jordan algebras. $3 532065
650 0 $a Geometry, Differential. $3 523835
650 0 $a Functional analysis. $3 531838
650 0 $a Lie algebras. $3 526115
830 0 $a Cambridge tracts in mathematics ; $v 190. $3 3470685
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