Introduction to Louis Michel's lattice geometry through group action

• Tác giả: B Zhilinskii
• Ngôn ngữ: eng
• ISBN-13: 978-2271087393
• ISBN-13: 978-2759817382
• ISBN-13: 978-2759819522
• Ký hiệu phân loại: 511.33 Order, lattices, ordered algebraic structures
• Thông tin xuất bản: Paris : EDP SCIENCES, 2015
• Mô tả vật lý: 1 electronic resource (270 p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 232357
• Chủ đề: 1. Physics

Tóm tắt

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.