Hardy's inequality: Difference between revisions

Latest revision as of 15:54, 25 November 2014

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-Let <math>W</math> be the [[Weyl group]] of a [[semisimple Lie algebra]] <math>\mathfrak{g}</math> (associate to fixed choice of a [[Cartan subalgebra]] <math>\mathfrak{h}</math>).  Assume that a set of [[Simple root (root system)|simple root]]s in <math>\mathfrak{h}^*</math> is chosen.
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-The ''affine action'' (also called the ''dot action'') of the Weyl group on the space <math>\mathfrak{h}^*</math> is
-:<math>w\cdot \lambda:=w(\lambda+\delta)-\delta</math>
-where <math>\delta</math> is the sum of all [[fundamental weight]]s, or, equivalently, the half of the sum of all [[positive root]]s.
-==References==
-* {{citation|first1=Robert J.|last1=Baston|first2=Michael G.|last2=Eastwood|authorlink2=Michael Eastwood|title=The Penrose Transform: its Interaction with Representation Theory|publisher=Oxford University Press|year=1989}}.
-[[Category:Representation theory of Lie algebras]]
-{{algebra-stub}}

Hardy's inequality: Difference between revisions

Latest revision as of 15:54, 25 November 2014

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