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Resumen de Explicit orbital parameters and the Plancherel measure for exponential Lie groups

Bradley Currey

  • Lebesgue measure on the linear dual of the Lie algebra of an exponential solvable Lie group is decomposed into semi-invariant orbital measures by means of a detailed analysis of orbital parameters and a natural measure on an explicit cross-section for generic coadjoint orbits. This decomposition yields a precise and explicit description of the Plancherel measure.


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