@article{CM_1980__41_2_245_0,
author = {Bernstein, J. N. and Gelfand, S. I.},
title = {Tensor products of finite and infinite dimensional representations of semisimple Lie algebras},
journal = {Compositio Mathematica},
volume = {42},
year = {1980},
pages = {245-285},
mrnumber = {581584},
zbl = {0445.17006},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1980__41_2_245_0}
}
Bernstein, J. N.; Gelfand, S. I. Tensor products of finite and infinite dimensional representations of semisimple Lie algebras. Compositio Mathematica, Tome 42 (1980) pp. 245-285. http://gdmltest.u-ga.fr/item/CM_1980__41_2_245_0/
[1] : Tensor products of finite and infinite dimensional representations of semisimple Lie groups. Ann. of Math. 106 (1977) 295-308. | MR 457636 | Zbl 0384.22004
[2] , and : The structure of representations generated by vectors of highest weight, Funk. Anal. Appl. 51 (1971), N1, 1-9 (Russian). | MR 291204 | Zbl 0246.17008
[3] and : Uber primitive Ideale in der Einhullenden einer halbeinfachen Lie-Algebra. Inventiones Math. 39 (1977) 1-53. | MR 453826 | Zbl 0327.17002
[4] : On the Enright-Varadarajan modules, Ann. Sci. Ecole Norm. Sup. 9 (1976) 81-101. | Numdam | MR 422518 | Zbl 0379.22008
[5] and : Szegö kernels associated with discrete series, Inventiones Math. 34 (1976) 163-200. | MR 419686 | Zbl 0332.22015
[6] : L2-cohomology and the discrete series, Ann. of Math. 103 (1976) 375-394. | MR 396856 | Zbl 0333.22009
[7] and : A geometric construction of the discrete series for semisimple Lie groups, Inventiones Math. 42 (1977) 1-62. | MR 463358 | Zbl 0373.22001
[8] : On tensor product of a finite and infinite dimensional representation. Jour. Func. Anal. v. 20 N 4 (1975) 257-285. | MR 414796 | Zbl 0355.17010
[9] : Sur la classification des ideaux primitifs dans l'algèbre envelloppante d'une algèbre de Lie semi-simple. Ann. of Math. 105 (1977) 107-120. | MR 430005 | Zbl 0346.17011
[10] : Harmonic analysis on semisimple complex Lie groups, Moscow, "Nauka", 1974 (Russian). | MR 579170
[11] : Représentations irréductibles des groupes semisimples complexes, Lecture Notes in Math. 497 (1975) 26-88. | MR 399353 | Zbl 0315.22008
[12] and : Sur les représentations induites des groupes semi-simple complexes, Compositio Math. 34 (1977) 307-336. | Numdam | MR 439991 | Zbl 0389.22016
[13] : Algebraic K-theory, Benjamin, 1968. | MR 249491 | Zbl 0174.30302
[14] : Theory of categories, Academic Press, N.Y., 1965. | MR 202787 | Zbl 0136.00604
[15] : Categories for the Working Mathematician, Springer, New York-Berlin-Heidelberg, 1971. | MR 354798 | Zbl 0232.18001
[16] : Algèbres envelloppantes. Paris, Gauthier-Villars, 1974. | MR 498737 | Zbl 0308.17007
[17] : Groupes et algèbres de Lie, Ch. 4, 5, 6. Paris, Hermann, 1968. | MR 240238 | Zbl 0483.22001
[18] : Lie group representations on polynomial rings, Amer. J. Math. 81 (1959) 937-1032. | MR 158024
[19] , and : On a category of G-modules. Funk. Anal. Appl. 10 (1976) N2, 1-8 (Russian). | MR 407097 | Zbl 0353.18013
[20] : A formula for the multiplicity of a weight, Trans. Amer. Math. Soc. 93 (1959) 53-73. | MR 109192 | Zbl 0131.27201
[21] and : Finite- and infinite-dimensional representations of linear semisimple groups, Trans. Amer. Math. Soc. 184 (1973) 223-246. | MR 327978 | Zbl 0279.17001
[22] : Irreducible Characters of Semisimple Lie Groups I, Duke Math. J. 46 (1979) 61-00. | MR 523602 | Zbl 0398.22021
[23] : Moduln mit einem höchsten Gewicht, Habilitationsschrift, Universität Bonn, 1977.
[24] : On the Irreducibility of the Fundamental Series of a Real semisimple Lie Algebra, Ann. of Math. 110 (1979) 1-82. | MR 541329 | Zbl 0417.17005
[25] : The Representations of Complex Semisimple Lie Groups (preprint).
[26] : Dixmier's Problem for Verma and Principal Series Submodules (preprint), December, 1978. | Zbl 0421.17005