Introduction to Louis Michel's lattice geometry through group action /

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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 erent basic mathematical tools currently used for the description of lattice geometry are introduced and illustrated through applications to cryst...

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Detalles Bibliográficos
Autores principales: Zhilinskii, Boris (Autor, http://id.loc.gov/vocalistabulary/relauthorographerrs/author,), Le Bellac, Michel (Autor, http://id.loc.gov/vocalistabulary/relauthorographerrs/author,), Leduc, Michel (Autor, http://id.loc.gov/vocalistabulary/relauthorographerrs/author,)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Les Ulis : EDP Sciences, [2021]
Colección:Current Natural Sciences
Temas:
Mathematics.
General Physics.
Mathématiques.
mathematics.
applied mathematics.
SCIENCE / Physics / General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • 1 Introduction
  • 2 Group action. Basic definitions and examples
  • 3 Delone sets and periodic lattices
  • 4 Lattice symmetry
  • 5 Lattices and their Voronoï and Delone cells
  • 6 Lattices and positive quadratic forms
  • 7 Root systems and root lattices
  • 8 Comparison of lattice classifications
  • 9 Applications
  • A. Basic notions of group theory with illustrative examples
  • B. Graphs, posets, and topological invariants
  • C. Notations for point and crystallographic groups
  • D. Orbit spaces for plane crystallographic groups
  • E. Orbit spaces for 3D-irreducible Bravais groups
  • Bibliography
  • Index

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