Polarization and unitary representations of solvable Lie groups

@article{Auslander1971PolarizationAU,
  title={Polarization and unitary representations of solvable Lie groups},
  author={Louis Auslander and Bertram Kostant},
  journal={Inventiones mathematicae},
  year={1971},
  volume={14},
  pages={255-354}
}

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UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

CONTENTSIntroduction § 1. Induced representations § 2. Representations of Lie algebras and infinitesimal group rings § 3. A special nilpotent group N § 4. Nilpotent Lie groups with one-dimensional

On the theory of exponential groups

The representations of the oscillator group

Using the Mackey theory of induced representations all the unitary continuous irreducible representations of the 4-dimensional Lie groupG generated by the canonical variables and a positive definite

Sur les représentations unitaires des groupes de Lie résolubles

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