Certaines représentations infinies des algèbres de Lie semi-simples

Jacques Dixmier

Séminaire Bourbaki (1972-1973)

  • Volume: 15, page 141-156
  • ISSN: 0303-1179

How to cite

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Dixmier, Jacques. "Certaines représentations infinies des algèbres de Lie semi-simples." Séminaire Bourbaki 15 (1972-1973): 141-156. <http://eudml.org/doc/109826>.

@article{Dixmier1972-1973,
author = {Dixmier, Jacques},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {141-156},
publisher = {Springer-Verlag},
title = {Certaines représentations infinies des algèbres de Lie semi-simples},
url = {http://eudml.org/doc/109826},
volume = {15},
year = {1972-1973},
}

TY - JOUR
AU - Dixmier, Jacques
TI - Certaines représentations infinies des algèbres de Lie semi-simples
JO - Séminaire Bourbaki
PY - 1972-1973
PB - Springer-Verlag
VL - 15
SP - 141
EP - 156
LA - fre
UR - http://eudml.org/doc/109826
ER -

References

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  1. [1] I.I. Bernstein, I.M. Gelfand, S.I. Gelfand - Structure des représentations engendrées par des vecteurs de plus haut poids, Funct. Anal. i evo prilojenie, 5(1971), p. 1-9 [en russe]. Zbl0246.17008MR291204
  2. [2] I.I. Bernstein, I.M. Gelfand, S.I. Gelfand - Opérateurs différentiels sur l'espace affine principal..., Inst. Prikladnoi Mat., Acad. Nauk SSSR, Moscou, 1971, [en russe]. 
  3. [3] Harish-Chandra - On some applications..., Trans. Amer. Math. Soc., 70 (1951), p. 28-96. Zbl0042.12701MR44515
  4. [4] B. Kostant - A formula for the multiplicity of a weight, Trans. Amer. Math. Soc., 93 (1959), p. 53-73. Zbl0131.27201MR109192
  5. [5] Séminaire Sophus Lie, 1ère année, 1954/55, Paris. 
  6. [6] J.-P. Serre - Algèbres de Lie semi-simples complexes, Benjamin, 1966. Zbl0144.02105MR215886
  7. [7] D.N. Verma - Structure of certain induced representations of complex semisimple Lie algebras, Dissertation, Yale Univ., 1966 ; et Bull. Amer. Math. Soc., 74 (1968), p. 160-166. Zbl0157.07604MR218417

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