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Super-Poincare algebra — In theoretical physics, a super Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras, and hence are Lie superalgebra. Thus a… … Wikipedia
Representation theory of the Poincaré group — In mathematics, the representation theory of the double cover of the Poincaré group is an example of the theory for a Lie group, in a case that is neither a compact group nor a semisimple group. It is important in relation with theoretical… … Wikipedia
Equivariant map — In mathematics, an equivariant map is a function between two sets that commutes with the action of a group. Specifically, let G be a group and let X and Y be two associated G sets. A function f : X rarr; Y is said to be equivariant if: f ( g… … Wikipedia
Representation theory of finite groups — In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of… … Wikipedia
Representation theory of diffeomorphism groups — In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that (for M connected) that group acts transitively on M .HistoryA survey paper from 1975 of the subject by… … Wikipedia
Frobenius-Schur indicator — In mathematics the Schur indicator, named after Issai Schur, or Frobenius Schur indicator describes what invariant bilinear forms a given irreducible representation of a compact group on a complex vector space has, and can be used to classify the … Wikipedia
First class constraint — In Hamiltonian mechanics, consider a symplectic manifold M with a smooth Hamiltonian over it (for field theories, M would be infinite dimensional). Poisson bracketsSuppose we have some constraints : f i(x)=0, for n smooth functions :{ f i } {i=… … Wikipedia
Spin network — In physics, a spin network is a type of diagram which can be used to represent states and interactions between particles and fields in quantum physics. From a mathematical perspective, the diagrams are a concise way to represent multilinear… … Wikipedia
Cartan connection applications — This page covers applications of the Cartan formalism. For the general concept see Cartan connection.Vierbeins, et cetera The vierbein or tetrad theory much used in theoretical physics is a special case of the application of Cartan connection in… … Wikipedia
