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Abstract In the setting of a connected noncompact semisimple Lie group with a finite center, we prove a property of the Iwasawa decomposition, and use it to show that, in… Click to show full abstract
Abstract In the setting of a connected noncompact semisimple Lie group with a finite center, we prove a property of the Iwasawa decomposition, and use it to show that, in Kostant's convexity result [7] , the Iwasawa projection puts almost all its weight near a single vertex of the convex hull. As another application, we will revisit the results of Huang–Tam [10] , [5] on the iteration of group elements under the Cartan and the Iwasawa decompositions.
Keywords:
iwasawa;
iwasawa projection;
weight distribution;
geometry;
distribution iwasawa
Journal Title: Differential Geometry and Its Applications
Year Published: 2017
Link to full text (if available)
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Journal Title: Differential Geometry and Its Applications
Year Published: 2017
Link to full text (if available)
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recommendations!