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Introduction to Louis Michel’s lattice geometry through group action

Introduction to Louis Michel’s lattice geometry through group action

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Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the central subject of the book. Di¬fferent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to crystal structures in two- and three-dimensional space, to abstract multi-dimensional lattices and to lattices associated with integrable dynamical systems. Starting from general Delone sets the authors turn to di¬fferent symmetry and topological classifications including explicit construction of orbifolds for two- and three-dimensional point and space groups.

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Keywords

  • Geometry
  • Mathematics & science
  • periodic networks
  • Physics
  • topological classifications

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