Group Theory: Finite Discrete Groups And Applications
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A01=Ioannis John Demetrius Vergados
A01=Vasiliki-ioanna Vergadou-remediaki
A4 Symmetry
Author_Ioannis John Demetrius Vergados
Author_Vasiliki-ioanna Vergadou-remediaki
Bravais Lattice
Brillouin Zone
Category=PBG
Category=PHU
Character Tables
Conjugate Classes
Conjugate Elements
Cosets
Crystal Harmonics
Crystal Structure
Crystal Symmetries
Crystallographic Groups
Direct Product
Discrete Groups
Discrete Symmetry
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Equivalent Representations
Factor Group
Graphene
Group Generators
Group Order
Group Sn
Group Theory
Heisenberg-weyl Group
Irreducible Representations
Irreducible Tensors
Kronecker Product
Lemmas Of Schur
Modular Groups
Normal Modes
Point Symmetry
Polygons
Regular Subgroups
Representation Reduction
Representation Theory
Schur Lemmas
Simple Groups
So(3) Reductions
Space Groups
Symmetry
Symmetry C3v
Tensors
Wigner Theorems
Young Tableau
Product details
- ISBN 9789811274756
- Publication Date: 21 Jul 2023
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book deals with the role played by symmetry in the understanding of the physical world, beginning with the notion of geometric symmetries of the ancient Greek philosophers and mathematicians. The recognition of the existence of symmetries led to the notion of transformations, which led from one state of the system to another. It was then realized that such transformations, under the operation of multiplication, constitute an interesting set, whose study led to the branch of mathematics known as Group Theory. With the emergence of quantum mechanics, this theory became much more interesting and led to some additional applications. The theory got another boost with the need for of the internal degrees of freedom in describing physical systems. This way the notion of symmetry is no longer purely geometric and evolved into a useful tool in the study of all physical sciences.For practical reasons as well as pedagogical reasons, group theory is usually split into two parts. The first deals with discrete groups, with the group elements being countable, usually finite in number, while the second deals with continuous groups, whose elements depend on continuous parameters. This volumefocuses the discussion on discrete groups. Given that group theory should be presented from a unified perspective, involving not only the mathematical rigor and beauty of symmetries, but also the ability to use it as a tool for applications, either currently popular or expected to become so in the future, this approach will surely be more beneficial to the dedicated reader. It is not intended for those who would like to just look up a formula or use the results of a table, without understanding their derivation.
