homogeneous space


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homogeneous space

[‚hä·mə′jē·nē·əs ′spās]
(mathematics)
A topological space having a group of transformations acting upon it, that is, a transformation group, where for any two points x and y some transformation from the group will send x to y.
References in periodicals archive ?
1) Any principal homogeneous space (torsor) under a connected linear algebraic group G defined over k, which satisfies the cohomological Hasse principle over each global subfield contained in k.
2: Set of recorders are called a homogeneous space of recorders, if all its elements equally receive all signals.
Let G be a homogeneous space with a compactification bG such that the remainder bG \ G is Ohio complete.
The art of perspective, as it was rediscovered by the Renaissance masters, operates with the notion of a homogeneous space, identical to the one that modem techniques and automated projections resort to, used in the achievement of computer three-dimensional images in our times, which techniques could not have been known without the knowledge of artistic perspective.
Drawn from two January 2012 workshops, this collection reviews the history of geometric analysis on Euclidean and homogeneous space, and presents new results in Radon transforms, Penrose transforms, representation theory, equivariant differential operators, wavelets related to symmetric cones, inductive limits of Lie groups, and noncommutative harmonic analysis.
acting in an infinite homogeneous space with permeability The field observed in the lower half-space can be found using the image currents
There has been, they persuasively argue, a dimly understood "culture of diagram" in the modern era that has shadowed the more widely acknowledged dominant perspectivalist scopic regime, in which subjects looked at objects in a homogeneous space from afar.
AaAaAa "The Kingdom of Morocco's ambition to contribute to making the Mediterranean a viable, homogeneous space is second only to the urgent need it perceives to launch a truly strategic partnership between Africa and Europe, based on mutual interests, shared challenges and the need to build a common future," HM the King said in the message read by Prime minister Abbas El Fassi.
In the film, accordingly, there is no defined, homogeneous space controlled by the heroes and representing their identity, as in the old films.
Living, dining and sleeping areas merge into a single homogeneous space enclosed by full-height glass walls which slide open to connect with the exterior.
Post-Modern time, a perpetual present of perpetual change, thus turns into space, a homogeneous space where multinational capitalism "reigns supreme and devastates the very cities and countryside it created in the process of its own earlier development.
For a pair G [contains] H of algebraic reductive groups, the homogeneous space G/H is real spherical if the dimension of intertwiners for any irreducible admissible representation [pi] [member of] [[?