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Prehomogeneous vector space defined by a semisimple algebraic group
Author(s):
Nguyen Huu
Anh
Journal:
Bull. Amer. Math. Soc.
81
(1975),
402-406.
MSC (1970):
Primary 20G05;
Secondary 57E25
MathSciNet review:
0367081
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Additional information
References:
- 1.
- N. H. Anh, Algebraic groups with square integrable representations, Bull. Amer. Math. Soc. (to appear). MR 340482
- 2.
- A. Borel, Linear algebraic groups, Benjamin, New York, 1969. MR 40 #4273. MR 251042
- 3.
- E. B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Mat. Sb. 30 (72) (1952), 349-462; English transl., Amer. Math. Soc. Transl. (2) 6 (1957), 111-244. MR 13, 904. MR 47629
- 4.
- A. I. Mal´cev, On semisimple subgroups of Lie groups, Izv. Akad. Nauk SSSR Ser. Mat. 8 (1944), 143-174; English transl., Amer. Math. Soc. Transl. (1) 9 (1962), 172-213. MR 6, 146.
- 5.
- G. D. Mostow, Fully reducible subgroups of algebraic groups, Amer. J. Math. 78 (1956), 200-221. MR 19, 1181. MR 92928
- 6.
- Mikio Sato, The theory of prehomogeneous vector spaces, Sûgaku 15 (1970), 85-157.
- 7.
- F. J. Servedio, Prehomogeneous vector spaces and varieties, Trans. Amer. Math. Soc. 176 (1973), 421-444. MR 320173
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13757-8
PII:
S 0002-9904(1975)13757-8
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