Jordan structures in geometry and 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 no...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Schriftenreihe: | Cambridge tracts in mathematics
190 |
| Links: | https://doi.org/10.1017/CBO9781139060165 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (x, 261 Seiten) |
| ISBN: | 9781139060165 |
Internformat
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| indexdate | 2025-03-03T11:58:04Z |
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| spelling | Chu, Cho-Ho Jordan structures in geometry and analysis Cho-Ho Chu Jordan Structures in Geometry & Analysis Cambridge Cambridge University Press 2012 1 Online-Ressource (x, 261 Seiten) txt c cr Cambridge tracts in mathematics 190 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. Erscheint auch als Druck-Ausgabe 9781107016170 |
| spellingShingle | Chu, Cho-Ho Jordan structures in geometry and analysis |
| title | Jordan structures in geometry and analysis |
| title_alt | Jordan Structures in Geometry & Analysis |
| title_auth | Jordan structures in geometry and analysis |
| title_exact_search | Jordan structures in geometry and analysis |
| title_full | Jordan structures in geometry and analysis Cho-Ho Chu |
| title_fullStr | Jordan structures in geometry and analysis Cho-Ho Chu |
| title_full_unstemmed | Jordan structures in geometry and analysis Cho-Ho Chu |
| title_short | Jordan structures in geometry and analysis |
| title_sort | jordan structures in geometry and analysis |
| work_keys_str_mv | AT chuchoho jordanstructuresingeometryandanalysis AT chuchoho jordanstructuresingeometryanalysis |