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Irreducible representations of Lie algebra extensions
Author:
Richard E. Block
Journal:
Bull. Amer. Math. Soc. 80 (1974), 868-872
MSC (1970):
Primary 16A64, 17B10, 17A99; Secondary 17B30, 17B65, 16A72
MathSciNet review:
0382371
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Robert
J. Blattner, Induced and produced representations
of Lie algebras, Trans. Amer. Math. Soc. 144 (1969), 457–474.
MR
0308223 (46 #7338a), http://dx.doi.org/10.1090/S0002-9947-1969-0308223-4
- 2.
Robert
J. Blattner, A theorem of Cartan and Guillemin, J.
Differential Geometry 5 (1971), 295–305. MR 0308224
(46 #7338b)
- 3.
Richard
E. Block, Determination of the differentiably simple rings with a
minimal ideal., Ann. of Math. (2) 90 (1969),
433–459. MR 0251088
(40 #4319)
- 4.
Richard
E. Block, Modules over differential polynomial
rings, Bull. Amer. Math. Soc. 79 (1973), 729–733. MR 0327844
(48 #6186), http://dx.doi.org/10.1090/S0002-9904-1973-13285-9
- 5.
J.
Dixmier, Représentations irréductibles des
algèbres de Lie nilpotentes, An. Acad. Brasil. Ci.
35 (1963), 491–519 (French). MR 0182682
(32 #165)
- 6.
J.
Dixmier, Sur les représentations induites des
algèbres de Lie, J. Math. Pures Appl. (9) 50
(1971), 1–24 (French). MR 0466415
(57 #6295)
- 7.
Victor
Guillemin, A Jordan-Hölder decomposition for a certain class
of infinite dimensional Lie algebras, J. Differential Geometry
2 (1968), 313–345. MR 0263882
(41 #8481)
- 8.
Daniel
Quillen, On the endomorphism ring of a simple
module over an enveloping algebra, Proc. Amer.
Math. Soc. 21
(1969), 171–172. MR 0238892
(39 #252), http://dx.doi.org/10.1090/S0002-9939-1969-0238892-4
- 9.
Moss
E. Sweedler, Hopf algebras, Mathematics Lecture Note Series,
W. A. Benjamin, Inc., New York, 1969. MR 0252485
(40 #5705)
- 1.
- R. J. Blattner, Induced and produced representations of Lie algebras, Trans. Amer. Math. Soc. 144 (1969), 457-474. MR 46 #7338a. MR 308223
- 2.
- R. J. Blattner, A theorem of Cartan and Guillemin, J. Differential Geometry 5 (1970), 295-305. MR 46 #7338b. MR 308224
- 3.
- R. E. Block, Determination of the differentiably simple rings with a minimal ideal, Ann. of Math. (2) 90 (1969), 433-459. MR 40 #4319. MR 251088
- 4.
- R. E. Block, Modules over differential polynomial rings, Bull. Amer. Math. Soc. 79 (1973), 729-733. MR 327844
- 5.
- J. Dixmier, Représentations irréductibles des algèbres de Lie nilpotentes, An. Acad. Brasil. Ci. 35 (1963), 491-519. MR 32 #165. MR 182682
- 6.
- J. Dixmier, Sur les représentations induites des algèbres de Lie, J. Math. Pures Appl. 50 (1971), 1-24. MR 466415
- 7.
- V. Guillemin, A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras, J. Differential Geometry 2 (1968), 313-345. MR 41 #8481. MR 263882
- 8.
- D. Quillen, On the endomorphism ring of a simple module over an enveloping algebra, Proc. Amer. Math. Soc. 21 (1969), 171-172. MR 39 #252. MR 238892
- 9.
- M. E. Sweedler, Hopf algebras, Mathematics Lecture Notes Series, Benjamin, New York, 1969. MR 40 #5705. MR 252485
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1974-13547-0
PII:
S 0002-9904(1974)13547-0
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