On some series of representations related to symmetric spaces

H. Schlichtkrull

Mémoires de la Société Mathématique de France (1984)

  • Volume: 15, page 277-289
  • ISSN: 0249-633X

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Schlichtkrull, H.. "On some series of representations related to symmetric spaces." Mémoires de la Société Mathématique de France 15 (1984): 277-289. <http://eudml.org/doc/94843>.

@article{Schlichtkrull1984,
author = {Schlichtkrull, H.},
journal = {Mémoires de la Société Mathématique de France},
keywords = {semisimple symmetric space; minimal K-types; Langlands parameters},
language = {eng},
pages = {277-289},
publisher = {Société mathématique de France},
title = {On some series of representations related to symmetric spaces},
url = {http://eudml.org/doc/94843},
volume = {15},
year = {1984},
}

TY - JOUR
AU - Schlichtkrull, H.
TI - On some series of representations related to symmetric spaces
JO - Mémoires de la Société Mathématique de France
PY - 1984
PB - Société mathématique de France
VL - 15
SP - 277
EP - 289
LA - eng
KW - semisimple symmetric space; minimal K-types; Langlands parameters
UR - http://eudml.org/doc/94843
ER -

References

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  1. [1] M. Berger, Les espaces symétriques non compacts, Ann. Sci. École Norm. Sup. 74 (1957), 85-177. Zbl0093.35602MR21 #3516
  2. [2] J. Dixmier, Algèbres Enveloppantes, Gauthiers-Villars, Paris 1974. Zbl0308.17007MR58 #16803a
  3. [3] M. Flensted-Jensen, Discrete series for semisimple symmetric spaces, Ann. of Math. 111 (1980), 253-311. Zbl0462.22006MR81h:22015
  4. [4] M. Flensted-Jensen, K-finite joint eigenfunctions of U(g)k on a non-Riemannian semisimple symmetric space G/H. Actes du Colloque d'Analyse Harmonique Non Commutative 1980, Marseille-Luminy. Lect. Notes in Math. 880 (1981), pp. 91-101. Zbl0463.43007
  5. [5] G. Ólafsson, Die Langlands-Klassifizierung, unitäre Darstellungen und die Flensted-Jensensche fundamentale Reihe, Seminar Prof. Maak, Nr. 39, Göttingen 1982. Zbl0519.22009
  6. [6] G. Ólafsson, Die Langlands-Parameter für die Flensted-Jensensche fundamentale Reihe, preprint 1983. 
  7. [7] T. Oshima, Poisson transformations on affine symmetric spaces, Proc. Japan Acad. Ser. A, 55 (1979), 323-327. Zbl0485.22011MR81k:43013
  8. [8] H. Schlichtkrull, The Langlands Parameters of Flensted-Jensen's Discrete Series for Semisimple Symmetric Spaces, J. Func. Anal. 50 (1983), 133-150. Zbl0507.22013MR84h:22030
  9. [9] H. Schlichtkrull, A Series of Unitary Irreducible Representations Induced from a Symmetric Subgroup of a Semisimple Lie Group, Invent. Math. 68 (1982), 497-516. Zbl0501.22019MR84d:22027
  10. [10] H. Schlichtkrull, Applications of Hyperfunction Theory to Representations of Semisimple Lie Groups, Prize Essay, Københavns Universitet 1983. 
  11. [11] B. Speh and D. Vogan, Reducibility of generalized principal series representations, Acta Math. 145 (1980), 227-299. Zbl0457.22011MR82c:22018
  12. [12] D. Vogan, Representations of real reductive Lie groups, Birkhäuser, Boston 1981. Zbl0469.22012MR83c:22022
  13. [13] T. Oshima and T. Matsuki, A description of discrete series for semisimple symmetric spaces. Preprint. Zbl0577.22012

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