A01=Victor E Hill
Abelian Group
advanced group character computations
Author_Victor E Hill
Category=PBF
Character Table
Conjugate Classes
Counterclockwise
crystallography symmetry analysis
Cyclic Group
Distinct Conjugate Classes
Distinct Irreducible Characters
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Abelian Group
Finite Group
group character theory
group homomorphism examples
group representation theory
Infinite Cyclic Group
Irreducible Characters
Irreducible Components
Irreducible Representations
linear algebra
Linear Transformation
Maschke's Theorem
Maschke’s Theorem
matrix representation methods
Nonabelian Group
Nonsingular Matrix
Normal Subgroups
Normal Sylow
permutation group theory
physical sciences mathematics
Primitive Cube Root
quantum mechanics applications
Regular Hexagon
Regular Representation
Sylow Theorems
Trigonal Bipyramid
Trivial Character
Product details
- ISBN 9781138401969
- Weight: 630g
- Dimensions: 156 x 232mm
- Publication Date: 29 Aug 2017
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Hardback
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Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Until now, however, there have been virtually no accessible treatments of group theory that include representations and characters. The classic works in the field require a high level of mathematical sophistication, and other texts omit representations and characters.
Groups and Characters offers an easy-to-follow introduction to the theory of groups and of group characters. Designed as a rapid survey of the subject, this unique text emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs. The author presents group theory through the Sylow Theorems and includes the full subgroup structure of A5. Representations and characters are worked out with numerous character tables, along with real and induced characters that lead to the table for S5.
The text includes specific sections that provide the mathematical basis for some of the important applications of group theory in spectroscopy and molecular structure. It also offers numerous exercises-some stressing computation of concrete examples, others stressing development of the mathematical theory.
Groups and Characters provides the ideal grounding for more advanced studies with the classic texts, and for more broad-based work in abstract algebra. Furthermore, physical scientists-whose experience with groups and characters may not be rigorous-will find Groups and Characters the ideal means for gaining a sense of the mathematics lying behind the techniques used in applications.
