Continuation of unitary derived functor modules out of the canonical chamber

Thomas J. Enright; Joseph A. Wolf

Mémoires de la Société Mathématique de France (1984)

  • Volume: 15, page 139-156
  • ISSN: 0249-633X

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Enright, Thomas J., and Wolf, Joseph A.. "Continuation of unitary derived functor modules out of the canonical chamber." Mémoires de la Société Mathématique de France 15 (1984): 139-156. <http://eudml.org/doc/94837>.

@article{Enright1984,
author = {Enright, Thomas J., Wolf, Joseph A.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {discrete series representations; unitarizability; real semi-simple group; -modules; derived functor modules; generalized Verma modules; analytic continuation; computer programs},
language = {eng},
pages = {139-156},
publisher = {Société mathématique de France},
title = {Continuation of unitary derived functor modules out of the canonical chamber},
url = {http://eudml.org/doc/94837},
volume = {15},
year = {1984},
}

TY - JOUR
AU - Enright, Thomas J.
AU - Wolf, Joseph A.
TI - Continuation of unitary derived functor modules out of the canonical chamber
JO - Mémoires de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 15
SP - 139
EP - 156
LA - eng
KW - discrete series representations; unitarizability; real semi-simple group; -modules; derived functor modules; generalized Verma modules; analytic continuation; computer programs
UR - http://eudml.org/doc/94837
ER -

References

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  1. [1] A. Borel and J. de Siebenthal, “Les sous-groupes fermés de rang maximum des groupes de Lie clos,” Comment. Math. Helv. 23 (1949), 200-221. Zbl0034.30701MR11,326d
  2. [2] T.J. Enright, “Unitary representations for two real forms of a semisimple Lie algebra : a theory of comparison,” Proceedings of the College Park Conference, 1982, to appear. Zbl0531.22012
  3. [3] T.J. Enright, R. Howe and N.R. Wallach, “A classification of unitary highest weight modules,” Proceedings of the Park City Conference on Representations of Reductive Groups, 1982, to appear. Zbl0535.22012
  4. [4] T.J. Enright, R. Parthasarathy, N.R. Wallach and J.A. Wolf, “Classes of unitarizable derived functor modules,” Proc. Nat. Acad. Sci. USA, 1983, to appear. Zbl0527.22007
  5. [5] T.J. Enright, R. Parthasarathy, N.R. Wallach and J.A. Wolf, “Unitary derived functor modules with small spectrum,” to appear. Zbl0568.22007
  6. [6] J.C. Jantzen, “Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren,” Math. Ann. 226 (1977), 53-65. Zbl0372.17003MR55 #12783
  7. [7] N.R. Wallach, “The analytic continuation of the discrete series, I, II,” Trans. Amer. Math. Soc. 251 (1979), 1-17 and 19-37. Zbl0419.22017MR81a:22009

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