rotation group generator

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• Lorentz group — Group theory Group theory …   Wikipedia

• Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   Wikipedia

• Euler's rotation theorem — In kinematics, Euler s rotation theorem states that, in three dimensional space, any displacement of a rigid body such that a point on the rigid body remains fixed, is equivalent to a rotation about a fixed axis through that point. The theorem is …   Wikipedia

• Special unitary group — In mathematics, the special unitary group of degree n , denoted SU( n ), is the group of n times; n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary… …   Wikipedia

• Frieze group — A frieze group is a mathematical concept to classify designs on two dimensional surfaces which are repetitive in one direction, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art. The… …   Wikipedia

• Presentation of a group — In mathematics, one method of defining a group is by a presentation. One specifies a set S of generators so that every element of the group can be written as a product of some of these generators, and a set R of relations among those generators.… …   Wikipedia

• Poincaré group — In physics and mathematics, the Poincaré group, named after Henri Poincaré, is the group of isometries of Minkowski spacetime. It is a 10 dimensional noncompact Lie group. The abelian group of translations is a normal subgroup while the Lorentz… …   Wikipedia

• Representation theory of the Galilean group — In nonrelativistic quantum mechanics, an account can be given of the existence of mass and spin as follows:The spacetime symmetry group of nonrelativistic quantum mechanics is the Galilean group. In 3+1 dimensions, this is the subgroup of the… …   Wikipedia

• Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry …   Wikipedia

• Angular momentum — For a generally accessible and less technical introduction to the topic, see Introduction to angular momentum. Classical mechanics Newton s Second Law …   Wikipedia

• Gauge theory — For a generally accessible and less technical introduction to the topic, see Introduction to gauge theory. In physics, a gauge theory is a type of field theory in which the Lagrangian is invariant under a continuous group of local transformations …   Wikipedia