Representations of Groups: With Special Consideration for the Needs of Modern Physics |
Contents
PREFACE TO THE FIRST GERMAN EDITION | 1 |
Analysis of KRONECKER products in the symmetric and full linear | 5 |
Algebras | 8 |
Copyright | |
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A₁ A₁(u according to theorem algebra basis belong bisymmetric transformations block calculate characters coefficients column commute completely reducible components contains continuous representations coordinates corresponding coset D₁ decomposes decomposition degree denote determinant diagram dimension direct sum e₁ eigenvalues exists factor finite group follows formula frame full linear group full matrix rings G₁ group elements group G group ring hence hermitian idempotent infinitesimal ring integral representations invariant subspace irreducible representations isomorphic Kronecker product left ideals linear group linear subspace linear transformation linearly independent m₁ m₂ matrix rings multiplication n₁ n₂ normal subgroup obtained occur orthogonal group permutation polynomial Proof prove R₁ r₂ regular representation representation of G representation space ring elements rotation group S₁ Schur's lemma standard tableaux summands symmetric group T₁ tensor space theorem 3.1 two-sided ideal unimodular vector space zero