Group Theoretical Methods in Physics: Proceedings 3rd International Colloquium, June 17-21, 1974, Centre de Physique Theorique, CNRS, Marseille, Volume 2Faculty of Science, University of Nijmegen, 1974 - Group theory |
Common terms and phrases
adjoint apply automorphism Banach-Lie baryons basis functions canonical Cartan subalgebras Casimir operators classification Clebsch-Gordan coefficients commutation relations compact condition conjugacy conjugacy classes conjugate contragredient Lie algebra corresponding current algebra defined denote derivation dim G dimension dimensional Lie algebras elements embedding enveloping algebra equation extension F₁ follows G₁ given graded Lie algebra group G Group Theoretical Hamiltonian Hence Hilbert space ideally finite inequality infinite dimensional Lie integral invariant irreducible representations irreps isomorphic L₁ Lemma Let G Lie groups linear Math matrix maximal multiplication nilpotent non-symmorphic non-zero obtain particle Phys physics Poincaré group primitive Lie algebras Proof quantum mechanical quarks real Lie algebras resp result satisfying scalar Sect semidirect products semisimple simple solvable space groups spin Spin(H subgroup subspace symmetry group tensor Theorem transformation transitive uncertainty principle unitary Winternitz zero αβ