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LectureII The Theory of Matrix Representations pp 1221
Matrix Representations Cont pp 2235
Applications to Quantum Mechanics 3649
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angular momentum apply associated atom baryon basis elements basis functions calculate characters coefficients commutation relations components consider construct coordinates corresponding deduce defining rep diagonal dimension dimensional direct product eigenfunctions eigenvalues electrons equation equivalent example follows Frobenius formula functions belonging functions f fundamental weights given GL(N group algebra group elements Hamiltonian Hence identity image space independent integers invariant operator invariant space irred rep irreducible representations isomorphic isospin labels left ideal let us denote Lie algebra linear combination matrix elements multiplets multiplication notation octet one-particle functions orbital parameters particle primitive idempotent proof quantum number quark reducible rep of SU(2 respect result rotation scalar product Section selection rule set of basis set of functions spin functions SU(N subgroup subspaces subtending Suppose symmetric group symmetric tensors symmetry symmetry vectors theorem theory tions transform according unitary unitary matrix values variables wave function weight vectors Young graphs Young operator