Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra
Wolfgang Bertram, Karl-Hermann Neeb
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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