Explicit orbital parameters and the Plancherel measure for exponential Lie groups

• Autores: Bradley Currey
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 1, 2005, págs. 97-138
• Idioma: inglés
• DOI: 10.2140/pjm.2005.219.97
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• Resumen

  • 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.