Points and Lines: Characterizing the Classical Geometries - download pdf or read online

By Ernest E. Shult

The classical geometries of issues and contours contain not just the projective and polar areas, yet related truncations of geometries obviously bobbing up from the teams of Lie sort. almost all of those geometries (or homomorphic photos of them) are characterised during this ebook via easy neighborhood axioms on issues and features. easy point-line characterizations of Lie occurrence geometries let one to acknowledge Lie occurrence geometries and their automorphism teams. those instruments can be precious in shortening the tremendously long category of finite easy teams. equally, spotting governed manifolds by means of axioms on gentle trajectories deals a fashion for a physicist to acknowledge the motion of a Lie workforce in a context the place it isn't transparent what Hamiltonians or Casimir operators are concerned. The presentation is self-contained within the experience that proofs continue step by step from common first principals with no extra attract outdoors effects. numerous chapters have new heretofore unpublished study effects. nevertheless, sure teams of chapters might make strong graduate classes. All yet one bankruptcy supply routines for both use in this sort of direction, or to elicit new learn directions.

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Points and Lines: Characterizing the Classical Geometries (Universitext) by Ernest E. Shult

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