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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| Format: | Online |
| Langue: | anglais |
| Publié: |
EDP SCIENCES
2022
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| Accès en ligne: | ONIX_20220304_9782759817382_22 |
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| _version_ | 1869518058257645568 |
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| author | Zhilinskii, B. |
| author_browse | Zhilinskii, B. |
| author_facet | Zhilinskii, B. |
| author_sort | Zhilinskii, B. |
| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-79009 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | EDP SCIENCES |
| publisherStr | EDP SCIENCES |
| record_format | ojs |
| spelling | doab-20.500.12854ir-790092024-04-04T19:18:55Z Introduction to Louis Michel’s lattice geometry through group action Zhilinskii, B. periodic networks geometry topological classifications thema EDItEUR::P Mathematics and Science::PH Physics 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. 2022-03-04T12:33:11Z 2022-03-04T12:33:11Z 2015 book ONIX_20220304_9782759817382_22 9782759817382 9782759819522 9782271087393 https://directory.doabooks.org/handle/20.500.12854/79009 eng image/jpeg Attribution-NonCommercial 4.0 International https://www.edp-open.org/images/stories/books/fulldl/Introduction_to_Louis_Michels_lattice.pdf EDP SCIENCES 149e1450-3163-4464-8366-4ee68ccb2163 9782759817382 9782759819522 9782271087393 270 open access |
| spellingShingle | periodic networks geometry topological classifications thema EDItEUR::P Mathematics and Science::PH Physics Zhilinskii, B. Introduction to Louis Michel’s lattice geometry through group action |
| title | Introduction to Louis Michel’s lattice geometry through group action |
| title_full | Introduction to Louis Michel’s lattice geometry through group action |
| title_fullStr | Introduction to Louis Michel’s lattice geometry through group action |
| title_full_unstemmed | Introduction to Louis Michel’s lattice geometry through group action |
| title_short | Introduction to Louis Michel’s lattice geometry through group action |
| title_sort | introduction to louis michel s lattice geometry through group action |
| topic | periodic networks geometry topological classifications thema EDItEUR::P Mathematics and Science::PH Physics |
| topic_facet | periodic networks geometry topological classifications thema EDItEUR::P Mathematics and Science::PH Physics |
| url | ONIX_20220304_9782759817382_22 |
| work_keys_str_mv | AT zhilinskiib introductiontolouismichelslatticegeometrythroughgroupaction |