Introduction to lattice geometry through group action

• Date de parution : 04/12/2015
• Editeur : Edp Sciences
• EAN : 9782759817382
• Série : (-)
• Support : Papier

• Nombre de pages : 270
• Collection : SAVOIRS ACTUELS
• Genre : Anglais
• Thème : Sciences / Médecine en langue anglaise
• Prix littéraire(s) : (-)

The specificity of this book is an intensive use of group action ideas and terminology when discussing physical and mathematical models of lattices. Another important aspect is the discussion and comparison of various approaches to the characterization of lattices.
Along with symmetry and... Voir plus

The specificity of this book is an intensive use of group action ideas and terminology when discussing physical and mathematical models of lattices. Another important aspect is the discussion and comparison of various approaches to the characterization of lattices.
Along with symmetry and topology ideas, the combinatorial description based on Voronoi and Delone cells is discussed along with classical characterization of lattices via quadratic forms. Point symmetry classification and Bravais classes of lattices are introduced using two-dimensional and three-dimensional lattices as examples.
Stratification of the ambient space and construction of the orbifolds for the symmetry group action is illustrated again on many examples of two- and three-dimensional lattice.