“…Introduction to group representation theory…”

Table of Contents: “…Introduction -- Equilibrium -- Self-Equilibrium Analysis by Symmetry -- Stability -- Force Density Method -- Prismatic Structures of Dihedral Symmetry -- Star-Shaped Structures of Dihedral Symmetry -- Regular Truncated Tetrahedral Structures -- Linear Algebra -- Affine Motions and Rigidity Condition -- Tensegrity Tower -- Group Representation Theory and Symmetry-Adapted Matrix.…”
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Table of Contents: “…Background : simple groups and their properties -- Outline of the proof of the CFSG : some main ideas -- Thompson factorization--and its failure : FF-methods -- Recognition theorems for simple groups -- Representation theory of simple groups -- Maximal subgroups and primitive representations -- Geometries for simple groups -- Some fusion techniques for classification problems -- Some applications close to finite group theory -- Some applications farther afield from finite groups -- Appendix A. …”
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