Group Theory and Its Application to Physical Problems |
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A₁ abelian angle antisymmetric axes axis B₁ basis functions belonging CG-coefficients charge-spin classes coefficients commutes components conjugate consider contains continuous groups coordinates corresponding crystal defined denote diagonal diagram dimensions eigenfunctions equations equivalent example factor finite groups give given GL(n group G group manifold Hamiltonian independent infinitesimal operators integers invariant subgroup inverse irreducible representations isomorphic Kronecker product Lie algebra Lie group linear combinations linear transformations Lorentz group matrix multiplication nucleons obtain one-dimensional orthogonal orthogonal group outer product parameters particles partition pattern permutation plane point groups polynomials Problem product representation repre rotation group rows rth-rank tensors satisfy Section sentations Similarly single-valued spin subspace symbol symmetry group symmetry type tensor F tensors of rank theorem tion traceless traceless tensors unimodular unitary group unitary matrix values variables wave functions zero λη