| 000 | 02450nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781139060165 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160240.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 110406s2012||||enk o ||1 0|eng|d | ||
| 020 | _a9781139060165 (ebook) | ||
| 020 | _z9781107016170 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA252.5 _b.C49 2012 |
| 082 | 0 | 0 |
_a512/.1 _223 |
| 100 | 1 |
_aChu, Cho-Ho, _eauthor. |
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| 245 | 1 | 0 |
_aJordan structures in geometry and analysis / _cCho-Ho Chu. |
| 246 | 3 | _aJordan Structures in Geometry & Analysis | |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2012. |
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| 300 |
_a1 online resource (x, 261 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge tracts in mathematics ; _v190 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aJordan and lie theory -- Jordan structures in geometry -- Jordan structures in analysis. | |
| 520 | _aJordan 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 | _aJordan algebras. | |
| 650 | 0 | _aGeometry, Differential. | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 0 | _aLie algebras. | |
| 776 | 0 | 8 |
_iPrint version: _z9781107016170 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v190. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139060165 |
| 999 |
_c518483 _d518481 |
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