12 relations: Algebra over a field, Center (algebra), Generator (mathematics), Graded ring, Identity element, Lorentz transformation, Representation theory, Sine-Gordon equation, Supercharge, Supersymmetry, Translation (geometry), (−1)F.
In mathematics, an algebra over a field is a vector space (a module over a field) equipped with a bilinear product.
The term center or centre is used in various contexts in abstract algebra to denote the set of all those elements that commute with all other elements.
In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts.
In mathematics, in particular abstract algebra, a graded ring is a ring that is a direct sum of abelian groups R_i such that R_i R_j \subset R_.
In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set.
In physics, the Lorentz transformation (or transformations) is named after the Dutch physicist Hendrik Lorentz.
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.
The sine-Gordon equation is a nonlinear hyperbolic partial differential equation in 1 + 1 dimensions involving the d'Alembert operator and the sine of the unknown function.
In theoretical physics, a supercharge is a generator of supersymmetry transformations.
Supersymmetry (SUSY), a theory of particle physics, is a proposed type of spacetime symmetry that relates two basic classes of elementary particles: bosons, which have an integer-valued spin, and fermions, which have a half-integer spin.
In Euclidean geometry, a translation is a function that moves every point a constant distance in a specified direction.
In a quantum field theory with fermions, (−1)F is a unitary, Hermitian, involutive operator where F is the fermion number operator and is equal to the sum of the lepton number plus the baryon number, F.