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Classification of irreducible prehomogeneous vector spaces and their invariants. (English) Zbl 0321.14030

MSC:
14M15 Grassmannians, Schubert varieties, flag manifolds
20G20 Linear algebraic groups over the reals, the complexes, the quaternions
20G05 Representation theory for linear algebraic groups
15A72 Vector and tensor algebra, theory of invariants
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[1] J. Fac. Sci. Univ. Tokyo 22 pp 25– (1975)
[2] Micro-local structure of some prehomogeneous vector spaces
[3] J. Math. Soc. Japan 24 (1972)
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[9] Prehomogeneous vector spaces related with the spin group (1974)
[10] Amer. J. of Math. 93 (1971)
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[13] Sugaku no ayumi 15 pp 85– (1970)
[14] Exceptional Lie Algebras (1971) · Zbl 0215.38701
[15] Iwanami Koza Gendai Oyo Sugaku
[16] Proc. Nat. Acad. Sci. U.S.A. 36 (1950)
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[19] Classical Groups (1964)
[20] DOI: 10.1007/BF01391210 · Zbl 0249.14016 · doi:10.1007/BF01391210
[21] DOI: 10.2307/1970844 · Zbl 0309.10014 · doi:10.2307/1970844
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