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Introduction to Louis Michel’s lattice geometry through group action
B. Zhilinskii
2015
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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
- thema EDItEUR::P Mathematics and Science::PH Physics
- topological classifications
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