A generalization of the Enright-Varadarajan modules

R. Parthasarathy

Compositio Mathematica (1978)

  • Volume: 36, Issue: 1, page 53-73
  • ISSN: 0010-437X

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Parthasarathy, R.. "A generalization of the Enright-Varadarajan modules." Compositio Mathematica 36.1 (1978): 53-73. <http://eudml.org/doc/89358>.

@article{Parthasarathy1978,
author = {Parthasarathy, R.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {53-73},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {A generalization of the Enright-Varadarajan modules},
url = {http://eudml.org/doc/89358},
volume = {36},
year = {1978},
}

TY - JOUR
AU - Parthasarathy, R.
TI - A generalization of the Enright-Varadarajan modules
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 36
IS - 1
SP - 53
EP - 73
LA - eng
UR - http://eudml.org/doc/89358
ER -

References

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  1. [1] I.N. Bernstein, I.M. Gelfand and S.I. Gelfand: Structure of representations possessing a highest weight (in Russian). Funct. Anal. and Appl.5(1) (1971) 1-9. Zbl0246.17008
  2. [2] J. Dixmier: Algebres Enveloppantes, Gauthier-Villars, Paris, 1974. Zbl0308.17007MR498737
  3. [3] T.J. Enright and V.S. Varadarajan: On an infinitesimal characterization of the discrete series. Ann. of Math.102 (1975) 1-15. Zbl0304.22011MR476921
  4. [4] Harish-Chandra: Representations of a semisimple Lie group II, Trans. A.M.S. 76 (1954) 26-65. Zbl0055.34002MR58604
  5. [5] V.S. Varadarajan: Lie groups, Lie algebras and their representations. Prentice-Hall, 1974. Zbl0371.22001MR376938
  6. [6] D.N. Verma: Structure of some induced representations of complex semisimple Lie algebras. Bull. A.M.S. 74 (1968) 160-166. Zbl0157.07604MR218417
  7. [7] N.R. Wallach: Harmonic Analysis on Homogeneous Spaces. Marcel Dekker, Inc., New York, 1973. Zbl0265.22022MR498996
  8. [8] G. Warner: Harmonic Analysis on Semisimple Lie Groups I. Springer-Verlag, New York, 1972. Zbl0265.22020

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