Introduction to Louis Michel's lattice geometry through group action
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 cry...
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| Main Author: | |
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| Format: | Electronic Book Chapter |
| Language: | English |
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EDP SCIENCES
2015
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| Subjects: | |
| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| Summary: | 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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| Physical Description: | 1 electronic resource (270 p.) |
| ISBN: | 9782759817382 9782759819522 9782271087393 |
| Access: | Open Access |