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Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups Book PDF Summary

All the irreducible unitary representations are found, in an explicit way, for the maximal parabolic subgroups in the various classical series of real and complex Lie groups. In each case, the nilradical is similar to the Heisenberg group, and its representations come out of the Kirillov orbit method. Then the representations of the parabolic subgroup are worked out from Mackey's little group method. The little group usually belongs to a different classical series--but with smaller matrices--so the end result in each series is a recursive statement involving several series.

Detail Book of Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups PDF

Unitary Representations of Maximal Parabolic Subgroups of the Classical Groups
  • Author : Joseph Albert Wolf
  • Release : 29 September 1976
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821821800
  • Genre : Mathematics
  • Total Page : 201 pages
  • Language : English
  • PDF File Size : 17,5 Mb

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