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Representations associated to minimal co-adjoint orrits

Chapter II. Geometric Quantization And Symplectic Structures

Part of the Lecture Notes in Mathematics book series (LNM,volume 676)

Abstract

The minimal dimensional co-adjoint orbits are determined for the real and complex classical Lie groups, and the representations associated to them by methods of geometric quantization are discussed. Some new computational methods are developed for the classical Lie algebras.

Keywords

  • Unitary Representation
  • Parabolic Subgroup
  • Geometric Quantization
  • Parabolic Subalgebra
  • Principal Series Representation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Expanded version of part of a lecture at the conference "Differential Geometric Methods in Mathematical Physics," Bonn, July 13–16, 1977. Research partially supported by National Science Foundation Grant MPS-76-01692.

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© 1978 Springer-Verlag

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Wolf, J.A. (1978). Representations associated to minimal co-adjoint orrits. In: Bleuler, K., Reetz, A., Petry, H.R. (eds) Differential Geometrical Methods in Mathematical Physics II. Lecture Notes in Mathematics, vol 676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063679

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  • DOI: https://doi.org/10.1007/BFb0063679

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