In mathematics, parabolic induction is a method of constructing representations of a reductive group from representations of its parabolic subgroups.
If G is a reductive algebraic group and is the Langlands decomposition of a parabolic subgroup P, then parabolic induction consists of taking a representation of , extending it to P by letting N act trivially, and inducing the result from P to G.
There are some generalizations of parabolic induction using cohomology, such as cohomological parabolic induction and Deligne–Lusztig theory.
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mathematics, parabolicinduction is a method of constructing representations of a reductive group from representations of its parabolic subgroups. If...
groups, ISBN 3-7643-3037-6 Anthony W. Knapp, David A. Vogan, Cohomological induction and unitary representations, ISBN 0-691-03756-6 prefacereview by Dan BarbaschMR1330919...
{\displaystyle S_{n}} ; the above-mentioned induction process gets replaced by so-called parabolicinduction. However, unlike for S n {\displaystyle S_{n}}...
The induction lamp, electrodeless lamp, or electrodeless induction lamp is a gas-discharge lamp in which an electric or magnetic field transfers the power...
A parabolic aluminized reflector lamp (PAR lamp or simply PAR) is a type of electric lamp that is widely used in commercial, residential, and transportation...
series representations can also be constructed by cohomological parabolicinduction using Zuckerman functors. Blattner's conjecture Holomorphic discrete...
groups by some sort of systematic process, such as (cohomological or parabolic) induction. Over finite fields, the unipotent representations are those that...
is Varian patented used by Analytik Jena ICP-MS 90 degrees reflecting parabolic "Ion Mirror" optics, which are claimed to provide more efficient ion transport...
extremely bright source (traditionally a carbon arc lamp) with a mirrored parabolic reflector to project a powerful beam of light of approximately parallel...
this, Hertz thought it was too difficult, and worked on electromagnetic induction instead. Hertz did produce an analysis of Maxwell's equations during his...
reduced resolution. In the parabolic superposition compound eye type, seen in arthropods such as mayflies, the parabolic surfaces of the inside of each...
external source that affects an electrical circuit by electromagnetic induction, electrostatic coupling, or conduction. The disturbance may degrade the...
the handle to its original position after each engagement. The linear induction, Faraday flashlight, or "shake flashlight" is another type of mechanically...
charging handheld devices like phones and electric toothbrushes, RFID tags, induction cooking, and wirelessly charging or continuous wireless power transfer...
rays in an absorber tube similar to parabolic trough plants. Since the concentration factor is less than in parabolic trough plants, the temperature of...
attempted to build systems based on electric conduction, electromagnetic induction, or on other theoretical ideas. Several inventors/experimenters came across...
have analogues in microwave lenses. Lens antennas have similarities to parabolic antennas and are used in similar applications. In both, microwaves emitted...