訂正日: 2006/10/20訂正理由: -訂正箇所: 引用文献情報訂正内容: Wrong : 1) A. Gyoja, Theory of prehomogeneous vector spaces without regularity condition, Publ. Res. Inst. Math. Sci., Kyoto Univ., 27 (1991), 861-922. 2) B. Kostant, Lie group representations on polynomial rings, Amer. J. Math., 85 (1963), 327-404. 3) D. Luna, Adhérences d'orbite et invariants, invent. Math., 29 (1975), 231-238. 4) G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math., 75 (1984), 205-272. 5) M. Sato and T. Kimura, A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J., 65 (1977), 1-155.
Right : [1] A. Gyoja, Theory of prehomogeneous vector spaces without regularity condition, Publ. Res. Inst. Math. Sci., Kyoto Univ., 27 (1991), 861-922. [2] B. Kostant, Lie group representations on polynomial rings, Amer. J. Math., 85 (1963), 327-404. [3] D. Luna, Adhérences d'orbite et invariants, invent. Math., 29 (1975), 231-238. [4] G. Lusztig, Intersection cohomology complexes on a reductive group, Invent. Math., 75 (1984), 205-272. [5] M. Sato and T. Kimura, A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J., 65 (1977), 1-155.