Lie Groups for Pedestrians

analogous angular momentum algebra angular momentum multiplets angular momentum operators annihilation operators antisymmetric ators baryon number bosons Casimir operators change the number charge conjugation charge independence classification Clebsch-Gordan coefficients commutation relations commutation rules consider corresponding creation and annihilation creation operators decay decuplet defined eigenfunctions eigenstates eigenvalues electromagnetic interaction elementary particles fermion group SU3 group theory half-integral Hamiltonian harmonic oscillator integral values invariant irreducible tensor isospin and U-spin isospin multiplets isospin operators isospin transformations isovector lambda Lie algebra Lie group linear combination matrix elements momenta multiplet structure neutron nucleons number of particles obtained octet model permutation symmetry pions plets proton pseudoscalar mesons quartet quasispin operators reactions rotation group Sakata model sakaton simple singlet space spin step operators strong interactions SU₂ subgroups SU3 multiplets symplectic group three-dimensional three-sakaton tion total number totally symmetric triplet unitary symmetry wave function Young diagram zero