basic commutator
31Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …
32Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… …
33List of group theory topics — Contents 1 Structures and operations 2 Basic properties of groups 2.1 Group homomorphisms 3 Basic types of groups …
34Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… …
35Density matrix — Mixed state redirects here. For the psychiatric condition, see Mixed state (psychiatry). In quantum mechanics, a density matrix is a self adjoint (or Hermitian) positive semidefinite matrix (possibly infinite dimensional) of trace one, that… …
36Orthogonal group — Group theory Group theory …
37Perfect group — In mathematics, in the realm of group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no nontrivial abelian quotients.The smallest (non trivial) perfect group is the alternating… …
38Field coil — A field coil is a component of an electro magnetic machine, typically a rotating electrical machine such as a motor or generator. A current carrying coil is used to generate a magnetic field. Magnetic fields require a continuous circuit, thus… …
39D-module — In mathematics, a D module is a module over a ring D of differential operators. The major interest of such D modules is as an approach to the theory of linear partial differential equations. Since around 1970, D module theory has been built up,… …
40History of electrochemistry — Electrochemistry, a branch of chemistry, went through several changes during its evolution from early principles related to magnets in the early 16th and 17th centuries, to complex theories involving conductivity, electrical charge and… …
