Overview

Full Product Details

Author:   E. Stiefel ,  A. Fässler
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1992 ed.
Dimensions:   Width: 21.00cm , Height: 1.90cm , Length: 27.90cm
Weight:   1.360kg
ISBN:  

9780817635275

ISBN 10:   0817635270
Pages:   296
Publication Date:   13 May 1992
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Preliminaries.- 1.1 The Concept of Groups.- 1.2 Price Index in Economics.- 1.3 The Realization of Groups.- 1.4 Representation of Groups.- 1.5 Equivalence of Representations.- 1.6 Reducibility of Representations.- 1.7 Complete Reducibility.- 1.8 Basic Conclusions.- 1.9 Representations of Special Finite Groups.- 1.10 Kronecker Products.- 1.11 Unitary Representations.- Problems.- 2 Linear Operators with Symmetries.- 2.1 Schur’s Lemma.- 2.2 Symmetry of a Matrix.- 2.3 The Fundamental Theorem.- Problems.- 3 Symmetry Adapted Basis Functions.- 3.1 Illustration by Dihedral Groups.- 3.2 Application in Quantum Physics.- 3.3 Application to Finite Element Method.- 3.4 Perturbed Problems with Symmetry.- 3.5 Fast Fourier Transform on Finite Groups.- 4 Continuous Groups And Representations.- 4.1 Continuous Matrix Groups.- 4.2 Relationship Between Some Groups.- 4.3 Constructing Representations.- 4.4 Clebsch-Gordan Coefficients.- 4.5 The Lorentz group and SL(2,C).- Problems.- 5 Symmetry Ad. Vectors, Characters.- 5.1 Orthogonality of Representations.- 5.2 Algorithm for Symmetry Adapted Bases.- 5.3 Applications.- 5.4 Similarity Classes of Groups.- 5.5 Characters.- 5.6 Representation Theory of Finite Groups.- 5.7 Extension to Compact Lie Groups.- Problems.- 6 Various Topics of Application.- 6.1 Bifurcation and A New Technique.- 6.2 A Diffusion Model in Probability Theory.- Problems.- 7 Lie Algebras.- 7.1 Infinitesimal Operator and Exponential Map.- 7.2 Lie Algebra of a Continuous Group.- 7.3 Representation of Lie Algebras.- 7.4 Representations of SU(2) and SO(3).- 7.5 Examples from Quantum Mechanics.- Problems.- 8 Applications to Solid State Physics.- 8.1 Lattices.- 8.2 Point Groups and Representations.- 8.3 The 32 Crystal Classes.- 8.4 Symmetries and the Ritz Method.- 8.5 Examples ofApplications.- 8.6 Crystallographic Space Groups.- Problems.- 9 Unitary and Orthogonal Groups.- 9.1 The Groups U(n) and SU(n).- 9.2 The Special Orthogonal Group SO(n).- 9.3 Subspaces of Representations of SU(3).- A.- Answers to Selected Problems.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions