This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.
These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular. Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding – thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics. This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest.
This interesting work extensively describes newer applications of liquid membrane systems which contain molecular and/or ion recognizing carrier compounds and the related characteristic membrane materials. This volume focuses on the current knowledge about chemistry, biology and related technology of liquid membranes. It reviews the most recent advances in design and characteristics of synthetic liquid membrane transport. Additionally, this fascinating reference discusses up-to-date topics in the analytical and separation science, plus biomimetic membrane technology. Because this book is presented in a compact, understandable format, readers can start from biological cell membranes, then net aspects of host-guest chemistry for effective recognition of ions and molecules, followed by its application for artificial sensors-such as neuro-systems, functionalized new detergents, mechanochemical systems, and separation chemistry. This publication is ideal for graduate-level students and will stimulate university and industry researchers.
Derived from the renowned multi-volume International Encyclopaedia of Laws, this practical analysis of the law of property in Japan deals with the issues related to rights and interests in all kinds of property and assets – immovable, movable, and personal property; how property rights are acquired; fiduciary mechanisms; and security considerations. Lawyers who handle transnational disputes and other matters concerning property will appreciate the explanation of specific terminology, application, and procedure. An introduction outlining the essential legal, cultural, and historical considerations affecting property is followed by a discussion of the various types of property. Further analysis describes how and to what extent legal subjects can have or obtain rights and interests in each type. The coverage includes tangible and intangible property, varying degrees of interest, and the various ways in which property is transferred, including the ramifications of appropriation, expropriation, and insolvency. Facts are presented in such a way that readers who are unfamiliar with specific terms and concepts in varying contexts will fully grasp their meaning and significance. The book includes ample references to doctrine and cases, as well as to relevant international treaties and conventions. Its succinct yet scholarly nature, as well as the practical quality of the information it provides, make this book a valuable time-saving tool for any practitioner faced with a property-related matter. Lawyers representing parties with interests in Japan will welcome this very useful guide, and academics and researchers will appreciate its value in the study of comparative property law.
This book focuses on the fundamentals, technologies and properties of ion irradiation of dielectric materials (e.g. glasses, crystals) with regard to various photonic applications. It introduces readers to diverse ion-beam techniques for the fabrication and modification of micron- or nanoscale photonic structures, including optical waveguides, photonic crystals, and nanoparticle (nano-spheres and nano-rods) systems, and presents state-of-the-art advances in this multi-disciplinary research field, demonstrating the unique capabilities of ion-beam technologies in optical dielectric materials processing. The book discusses in detail the properties of ion-beam processed waveguides, as well as the modification of dielectrics for photonic applications, such as electro-optic modulation, nonlinear frequency conversion, waveguide amplification and lasing. It also explores synthesis and the correlated optical effects of nanoparticles by ion beams, and features examples of successful micro- and nano-photonic devices. Given its breadth of coverage, the book will particularly appeal to readers interested in ion-beam technology, materials science, and integrated optics.
These lecture notes provide a tutorial review of non-Abelian discrete groups and show some applications to issues in physics where discrete symmetries constitute an important principle for model building in particle physics. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics - in particular model building beyond the standard model - non-Abelian discrete symmetries have been applied to understand the three-generation flavor structure in particular. Indeed, non-Abelian discrete symmetries are considered to be the most attractive choice for the flavor sector: model builders have tried to derive experimental values of quark and lepton masses, and mixing angles by assuming non-Abelian discrete flavor symmetries of quarks and leptons, yet, lepton mixing has already been intensively discussed in this context, as well. The possible origins of the non-Abelian discrete symmetry for flavors is another topic of interest, as they can arise from an underlying theory - e.g. the string theory or compactification via orbifolding – thereby providing a possible bridge between the underlying theory and the corresponding low-energy sector of particle physics. This text explicitly introduces and studies the group-theoretical aspects of many concrete groups and shows how to derive conjugacy classes, characters, representations, and tensor products for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest.
This lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.
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