Applications of Group Theory in Physics and Mathematical Physics
Mosh Flato, Paul Sally, Gregg Zuckerman
American Mathematical Soc., Dec 31, 1985 - Science - 420 pages
The past decade has seen a renewal in the close ties between mathematics and physics. The Chicago Summer Seminar on Applications of Group Theory in Physics and Mathematical Physics, held in July, 1982, was organized to bring together a broad spectrum of scientists from theoretical physics, mathematical physics, and various branches of pure and applied mathematics in order to promote interaction and an exchange of ideas and results in areas of common interest. This volume contains the papers submitted by speakers at the Seminar. The reader will find several groups of articles varying from the most abstract aspects of mathematics to a concrete phenomenological description of some models applicable to particle physics. The papers have been divided into four categories corresponding to the principal topics covered at the Seminar. This is only a rough division, and some papers overlap two or more of these categories.
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action adjoint adjoint representation affine Lie algebra anticommutation antisymmetric bosons branching rule Casimir classical coefficients compact components consider construction coordinates corresponding covariant defined denote described differential dimensional dimensions Dirac dual pair eigenvalues elements energy equations example exists fact fermions field theory finite finite-dimensional formal formula function G-invariant gauge fields gauge theories given Hermitian highest weight Hilbert space identity infinitesimal integrable interactions invariant irreducible representation isomorphic K-type Kac-Moody algebras Lett Lie groups linear Lorentz manifold massless Math mathematical matrix module multiplication Nucl obtain orbit oscillators parameters particles Phys physical Poincare properties Proposition quantization quantum mechanics representation of G restriction result satisfy scalar selfadjoint selfadjoint operator semisimple space-time spin spinor string SU(Ar SU(M subalgebra subgroup subspace superalgebras supergravity supergroup supersymmetry supertableau symmetry symplectic tableaux tensor Theorem tion transformation unitary representation vector space vertex Virasoro algebra Weyl