• ISBN13: 9783540183624
• Binding: Paperback
• Subject: Mathematics and Statistics
• Publisher: Springer Verlag
• Publisher Imprint: Springer V
• Publication Date: January 1, 1987
• Pages: 210
• Original Price: USD 38.95
• Language: English
• Edition: N/A
• Item Weight: 300 grams
• BISAC Subject(s): Algebra / Linear, Algebra / General, and Geometry / Algebraic

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 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.