Jordan Triple Systems the Grid Approach by Erhard Neher

ISBN: 9780387183626

Published: November 28th 1987

Hardcover

193 pages


Description

Jordan Triple Systems  by  the Grid Approach by Erhard Neher

Jordan Triple Systems by the Grid Approach by Erhard Neher
November 28th 1987 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 193 pages | ISBN: 9780387183626 | 8.33 Mb

Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple JordanMoreGrids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover.

Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds.

The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.



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