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

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

2003-06-18

arxiv.org/abs/math/0306272v1

Mathematics

Rings and Algebras

33 pages, plain tex

Scientific paper

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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