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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

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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References | Similar articles | 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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