The following sections are included:Group actionsOrbit spacesIsotropy and orbit typesIsotropy typesOrbit typesWhen the action is properStratification by orbit typesSmooth structure on an orbit spaceDifferential structureThe orbit space as a differential spaceSubcartesian spacesStratification of the orbit ...
Define Orbit (group theory). Orbit (group theory) synonyms, Orbit (group theory) pronunciation, Orbit (group theory) translation, English dictionary definition of Orbit (group theory). Noun 1. group action - action taken by a group of people event - some
Consider the action of a group G on an ordinary commutative k-variety X = Spec (A). In this note we define the category of A-G-modules and their deformation theory. We then prove that this deformation theory is equivalent to the deformation theory of modules over the noncommutative k-...
1.(Astronomy)astronomythe curved path, usually elliptical, followed by a planet, satellite, comet, etc, in its motion around another celestial body under the influence of gravitation 2.a range or field of action or influence; sphere:he is out of my orbit. ...
The obtained criteria yield, among others, a simple characterization of subgroups of a dilation group yielding the same coorbit spaces. They also allow to clarify which anisotropic Besov spaces have an alternative description as coorbit spaces associated to irreducible quasi-regular representations....
An action that performs an animation to call attention to an object. GroupAction An action that runs a list of other actions. ImpulseAction An action that adds velocity to an prim. LookAtCameraAction An action that reorients an object to face the user’s camera. SpinAction An action that ...
We give new classes of examples of orbits of the diagonal group in the space of unit volume lattices in d for d≥3 with nice (homogeneous) orbit closures, as well as examples of orbits with explicitly computable but irregular orbit closures. We give Diophantine applications to the former; fo...
OrbitInventory[ci, x, w] returns the value of the cycle index ci when each formal variable x[i] is replaced by w. OrbitInventory[ci, x, weights] returns the inventory of orbits induced on a set of functions by the action of a group with cycle index ci. I
Sartori, G.: Geometric invariant theory: a model-independent approach to spontaneous symmetry breaking and/or supersymmetry breaking, Riv. Nuovo Cimento 14(11) (1991), 1-120. Google Scholar Schwarz, G.: Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975),...
摘要: Motivated by gauge theory, a strategy to quantize a system whose classical configuration space is the orbit space of a Lie group action is proposed. Special emphasis is placed on how the natural stratification of this space, induced by orbit types, is encoded in the quantum theory....