Maximum entropy spectral estimation: Difference between revisions

Latest revision as of 02:44, 15 February 2014

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-In mathematics, the '''Langlands decomposition''' writes a [[parabolic subgroup]] ''P'' of a [[semisimple Lie group]] as a [[product of subgroups|product]] <math>P=MAN</math> of a reductive subgroup ''M'', an [[abelian group|abelian]] subgroup ''A'', and a [[nilpotent group|nilpotent subgroup]] ''N''.
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-== Applications ==
-{{see also|Parabolic induction}}
-A key application is in [[parabolic induction]], which leads to the [[Langlands program]]: if <math>G</math> is a reductive algebraic group and <math>P=MAN</math> is the Langlands decomposition of a parabolic subgroup ''P'', then [[parabolic induction]] consists of taking a representation of <math>MA</math>, extending it to <math>P</math> by letting <math>N</math> act trivially, and [[induced representation|inducing]] the result from <math>P</math> to <math>G</math>.
-==See also==
-*[[Lie group decompositions]]
-==References==
-* A. W. Knapp, Structure theory of semisimple Lie groups. ISBN 0-8218-0609-2.
-{{DEFAULTSORT:Langlands Decomposition}}
-[[Category:Lie groups]]
-[[Category:Algebraic groups]]
-{{Mathanalysis-stub}}

Maximum entropy spectral estimation: Difference between revisions

Latest revision as of 02:44, 15 February 2014

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