Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra

2003/06/18 by Wolfgang Bertram, Bertram, Wolfgang, Karl‐Hermann Neeb +2 · 1 citation
Mathematics · #17C30 #17C37 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA) #math.RA #msc:17C30 #msc:17C37

paper · pdf · doi:10.48550/arxiv.math/0306272

33 pages, plain tex

arxiv created 2003/06/18 · openalex publication_date 2003/06/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A geometric realization of the projective completion of the Jordan pair corresponding to a three-graded Lie algebra is given which permits to develop a geometric structure theory of the projective completion. This will be used in Part II of this work to define a manifold structure on the projective completion (in arbitrary dimension and over quite general base fields and -rings).

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