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Introduction to Louis Michel's lattice geometry through group action -- Contents -- Preface -- 1 - Introduction -- 2 - Group action. Basic definitions and examples -- 2.1 The action of a group on itself -- 2.2 Group action on vector space -- 3 - Delone sets and periodic lattices…
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 erent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through …