Introduction to Louis Michel's lattice geometry through group action

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dc.alternateIdentifier9782759819522
dc.collectionKnowledge Unlatched (KU)
dc.collectionKU Select 2018: STEM Backlist Books
dc.creatorZhilinskii, Boris
dc.date2019-10-23 03:00:36
dc.date2020-04-01T10:17:49Z
dc.date2020-04-01T10:17:49Z
dc.date2016-03-03
dc.date.accessioned2026-07-25T14:29:08Z
dc.descriptionGroup 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 erent 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 erent symmetry and topological classi- cations including explicit construction of orbifolds for two- and three-dimensional point and space groups. Voronoï and Delone cells together with positive quadratic forms and lattice description by root systems are introduced to demonstrate alternative approaches to lattice geometry study. Zonotopes and zonohedral families of 2-, 3-, 4-, 5-dimensional lattices are explicitly visualized using graph theory approach. Along with crystallographic appl
dc.formatapplication/pdf
dc.fundingReference
dc.grantnumber102204
dc.grantprogramKU Select 2018: STEM Backlist Books
dc.identifier1005090
dc.identifierOCN: 1135854835
dc.identifierhttp://library.oapen.org/handle/20.500.12657/25012
dc.identifierhttp://laboutique.edpsciences.fr/produit/833/9782759819522/Introduction%20to%20Louis%20Michels%20lattice%20geometry%20through%20group%20action?search_
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/26055
dc.languageeng
dc.licenseConditionn/a
dc.number102204
dc.publisherEDP SCIENCES
dc.relationisFundedByb818ba9d-2dd9-4fd7-a364-7f305aef7ee9
dc.relationisPublishedBy72a84c7e-1385-4e97-8aa9-11c618327100
dc.relationisbn9782759819522
dc.resourceTypebook
dc.rightsinfo:eu-repo/semantics/openAccess
dc.source1005090.pdf
dc.subjectMathematics
dc.subjectcristallography
dc.subjectgroup theory
dc.subjectTextbook
dc.subjectthema EDItEUR::P Mathematics and Science::PH Physics::PHM Atomic and molecular physics
dc.titleIntroduction to Louis Michel's lattice geometry through group action

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