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Volumn 43, Issue 1-3, 1997, Pages 87-113

Kostant's convexity theorem and the compact classical groups

Author keywords

Classical groups; Convex hull; Convexity; Orbit

Indexed keywords


EID: 21944439700     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: 10.1080/03081089708818518     Document Type: Article
Times cited : (16)

References (19)
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  • 2
    • 0000979746 scopus 로고
    • The Yang-mills equations over Riemann surfaces
    • [AB]
    • [AB] Atiyah, M. F. and Bott, R. (1982). The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser., A 308, 523-615.
    • (1982) Philos. Trans. Roy. Soc. London Ser. , vol.308 A , pp. 523-615
    • Atiyah, M.F.1    Bott, R.2
  • 5
    • 0000538675 scopus 로고
    • Applications of the theory of Morse to symmetric spaces
    • [BS]
    • [BS] Bott, R. and Samelson, H. (1958). Applications of the theory of Morse to symmetric spaces, Amer. J. Math., 80, 964-1029.
    • (1958) Amer. J. Math. , vol.80 , pp. 964-1029
    • Bott, R.1    Samelson, H.2
  • 7
    • 0000567544 scopus 로고
    • Convexity properties of the moment mapping
    • [GS]
    • [GS] Guillemin, V. W. and Sternberg, S. (1982). Convexity properties of the moment mapping, Invent. Math., 67, 491-513.
    • (1982) Invent. Math. , vol.67 , pp. 491-513
    • Guillemin, V.W.1    Sternberg, S.2
  • 9
    • 0000206664 scopus 로고
    • Doubly stochastic matrices and the diagonal of a rotation matrix
    • [H]
    • [H] Horn, A. (1954). Doubly stochastic matrices and the diagonal of a rotation matrix, Amer. J. Math., 76, 620-630.
    • (1954) Amer. J. Math. , vol.76 , pp. 620-630
    • Horn, A.1
  • 12
    • 0000368974 scopus 로고
    • On convexity, the Weyl group and Iwasawa decomposition
    • [K]
    • [K] Kostant, B. (1973). On convexity, the Weyl group and Iwasawa decomposition, Ann. Sci. Ecole Norm. Sup. (4) 6, 413-460.
    • (1973) Ann. Sci. Ecole Norm. Sup. (4) , vol.6 , pp. 413-460
    • Kostant, B.1
  • 13
    • 21344483772 scopus 로고
    • Group majorization, the convex hulls of set of matrices, and the diagonal element-singular value inequalities
    • [MT]
    • [MT] Miranda, H. and Thompson, R. C. (1994). Group majorization, the convex hulls of set of matrices, and the diagonal element-singular value inequalities, Linear Algebra Appl., 199, 131-141.
    • (1994) Linear Algebra Appl. , vol.199 , pp. 131-141
    • Miranda, H.1    Thompson, R.C.2
  • 15
    • 0009966022 scopus 로고
    • Another proof of a result of Westwick
    • [P]
    • [P] Pöon, Y. T. (1980). Another proof of a result of Westwick, Linear and Multilinear Algebra, 9, 35-37.
    • (1980) Linear and Multilinear Algebra , vol.9 , pp. 35-37
    • Pöon, Y.T.1
  • 16
    • 0002679616 scopus 로고
    • Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinantentheorie
    • [S]
    • [S] Schur, I. (1923). Über eine Klasse von Mittelbildungen mit Anwendungen auf der Determinantentheorie, Sitzungsberichte der Berlinear Mathematischen Gesellschaft, 22, 9-20.
    • (1923) Sitzungsberichte der Berlinear Mathematischen Gesellschaft , vol.22 , pp. 9-20
    • Schur, I.1
  • 17
    • 26444507949 scopus 로고    scopus 로고
    • Miranda-Thompson's trace inequality and a log convexity result to appear
    • [T]
    • [T] Tam, T. Y. Miranda-Thompson's trace inequality and a log convexity result to appear in Linear Algebra Appl.
    • Linear Algebra Appl.
    • Tam, T.Y.1
  • 18
    • 0002057531 scopus 로고
    • Singular values, diagonal elements, and convexity
    • [T1]
    • [T1] Thompson, R. (1977). Singular values, diagonal elements, and convexity, SIAM J. Appl. Math., 32, 39-63.
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 39-63
    • Thompson, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.