Sentence examples for moment map from inspiring English sources

They are direct integrals of the H-series, indexed by the image of the moment map.

We consider the moment map m : PVn↦u(n) for the action of GL(n) on Vn=Λ2(Cn)∗⊗Cn.

In this article we give an explicit formula for the push forward of the Liouville measure of regular coadjoint orbits of connected, noncompact, semisimple Lie groups under the moment map arising from the Hamiltonian action of a maximal compact subgroup.

To each continuous unitary representation of a Lie group G on a Hilbert space H we associate a moment map from the projective space of smooth vectors to the dual g* of the Lie algebra of G.

Besides providing a new proof of this conjecture for the full non-Abelian group action case, our methods lead to a generalization for compact Lie group actions on manifolds that are not symplectic; these manifolds carry an invariant almost complex structure and an abstract moment map.

Google on Wednesday released a mobile application feature that allows people to show others where they are at any given moment, mapping the location and enabling immediate communication.

The moment mapping Ψπ of π assigns to every C∞ vector ξ in the Hilbert space H of π the linear functional Ψπ of the Lie algebra g of G by the rule ψπ(X)=1i〈dπ(X ξ, ξ〉H, X ϵ g In this paper, we study the moment set Iπ of π, i.e., the closure of the image of Ψπ.

Interoception refers to the process by which the nervous system senses, interprets, and integrates signals originating from within the body, providing a moment-by-moment mapping of the body's internal landscape across conscious and unconscious levels.

It is not the only moment when "Map Me," created in 2003, evokes sculpture and painting; Canova, Magritte, Cranach and Roy Lichtenstein (in a section in which the pair draw stick figures on each other's bodies) all come to mind at various points.

But, for several months a year, he set off into the English countryside in a dilapidated car, at first with his beloved wife Lola, later with his astonished and frequently exhausted research assistant of the moment, to map and describe the noteworthy buildings of every county in England.

From that moment, Libyan maps represented the area as part of Libya.