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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2012
|
| Series: | Cambridge tracts in mathematics
190 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| 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 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 |
| Physical Description: | 1 Online-Ressource (x, 261 Seiten) |
| ISBN: | 9781139060165 |
| DOI: | 10.1017/CBO9781139060165 |
Staff View
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| author | Chu, Cho-Ho |
| author_GND | (DE-588)123679494 |
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| author_sort | Chu, Cho-Ho |
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| contents | Jordan and lie theory -- Jordan structures in geometry -- Jordan structures in analysis |
| ctrlnum | (ZDB-20-CBO)CR9781139060165 (OCoLC)852510811 (DE-599)BVBBV043942275 |
| dewey-full | 512/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.1 |
| dewey-search | 512/.1 |
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| discipline | Mathematik |
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| id | DE-604.BV043942275 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9781139060165 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351244 |
| oclc_num | 852510811 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (x, 261 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Chu, Cho-Ho Verfasser (DE-588)123679494 aut 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 rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 190 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 Jordan algebras Geometry, Differential Functional analysis Lie algebras Jordan-Algebra (DE-588)4162770-2 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Jordan-Algebra (DE-588)4162770-2 s Lie-Algebra (DE-588)4130355-6 s Funktionalanalysis (DE-588)4018916-8 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-107-01617-0 https://doi.org/10.1017/CBO9781139060165 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Chu, Cho-Ho Jordan structures in geometry and analysis Jordan and lie theory -- Jordan structures in geometry -- Jordan structures in analysis Jordan algebras Geometry, Differential Functional analysis Lie algebras Jordan-Algebra (DE-588)4162770-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd Lie-Algebra (DE-588)4130355-6 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4162770-2 (DE-588)4018916-8 (DE-588)4130355-6 (DE-588)4012248-7 |
| 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 |
| topic | Jordan algebras Geometry, Differential Functional analysis Lie algebras Jordan-Algebra (DE-588)4162770-2 gnd Funktionalanalysis (DE-588)4018916-8 gnd Lie-Algebra (DE-588)4130355-6 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Jordan algebras Geometry, Differential Functional analysis Lie algebras Jordan-Algebra Funktionalanalysis Lie-Algebra Differentialgeometrie |
| url | https://doi.org/10.1017/CBO9781139060165 |
| work_keys_str_mv | AT chuchoho jordanstructuresingeometryandanalysis AT chuchoho jordanstructuresingeometryanalysis |