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Reducibility of standard representations
Author(s):
Dan
Barbasch;
David A.
Vogan Jr.
Journal:
Bull. Amer. Math. Soc.
11
(1984),
383-385.
MSC (1980):
Primary 22E46
MathSciNet review:
752804
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Additional information
References:
- 1.
- A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Princeton Univ. Press, Princeton, N.J., 1980. MR 554917
- 2.
- A. W. Knapp and G. Zuckerman, Classification of irreducible tempered representations of semisimple groups, Ann. of Math. (2) 116 (1982), 389-455. MR 672840
- 3.
- B. Speh and D. Vogan, Reducibility of generalized principal series representations, Acta Math. 145 (1980), 227-299. MR 590291
- 4.
- D. Vogan, The algebraic structure of the representations of semisimple Lie groups. I, Ann. of Math. (2) 109 (1979), 1-60. MR 519352
- 5.
- D. Vogan, Irreducible characters of semisimple Lie groups. IV: Character-multiplicity duality, Duke Math. J. 49 (1982), 943-1073. MR 683010
- 6.
- D. Vogan, Representations of real reductive Lie groups, Birkhauser, Boston, 1981. MR 632407
- 7.
- B. Kostant, On the existence and irreducibility of certain series of representations, Bull. Amer. Math. Soc. 75 (1969), 627-642. MR 245725
- 8.
- B. Speh, Some results on principal series for GL(n, R), Ph.D. Diss., MIT, June 1977.
- 9.
- D. P. Zhelobenko, The analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group, Math. USSR Izv. 2 (1968), 105-128.
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15320-5
PII:
S 0273-0979(1984)15320-5
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