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Volumn 25, Issue 3, 1996, Pages 591-619

Symmetry algebras of normal A-hypergeometric systems

Author keywords

A hypergeometric system; Symmetry algebra; Symmetry Lie algebra

Indexed keywords


EID: 85007389937     PISSN: 03854035     EISSN: None     Source Type: Journal    
DOI: 10.14492/hokmj/1351516751     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 0037905449 scopus 로고
    • General theory of hypergeometric Junctions
    • English translation, Soviet Math. Dokl. 33 (1987), 9-13
    • Gelfand I.M., General theory of hypergeometric Junctions, Dokl. Akad. Nauk. SSSR 288 (1986), 14-18; English translation, Soviet Math. Dokl. 33 (1987), 9-13.
    • (1986) Dokl. Akad. Nauk. SSSR , vol.288 , pp. 14-18
    • Gelfand, I.M.1
  • 2
    • 0038717506 scopus 로고
    • Holonomic system of equations and series of hypergeometric type
    • English translation, Soviet Math. Dokl. 36 (1988), 5-10
    • Gelfand I.M., Graev M.I. and Zelevinsky A.V., Holonomic system of equations and series of hypergeometric type, Dokl. Akad. Nauk. SSSR 295 (1987), 14-19; English translation, Soviet Math. Dokl. 36 (1988), 5-10.
    • (1987) Dokl. Akad. Nauk. SSSR , vol.295 , pp. 14-19
    • Gelfand, I.M.1    Graev, M.I.2    Zelevinsky, A.V.3
  • 3
    • 77952882874 scopus 로고
    • Equations of hypergeometric type and Newton polyhcdra
    • English translation, Soviet Math. Dokl. 37 (1988), 678-683
    • Gelfand I.M., Zelevinsky A.V. and Kapranov M.M., Equations of hypergeometric type and Newton polyhcdra, Dokl. Akad. Nauk. SSSR 300 (1988), 529-534; English translation, Soviet Math. Dokl. 37 (1988), 678-683.
    • (1988) Dokl. Akad. Nauk. SSSR , vol.300 , pp. 529-534
    • Gelfand, I.M.1    Zelevinsky, A.V.2    Kapranov, M.M.3
  • 4
    • 0038040995 scopus 로고
    • Hypergeometric functions and toric varieties
    • English translation, Funct. Anal. Appl. 23 (1989), 94-106
    • Gelfand I.M., Zelevinsky A.V. and Kapranov M.M., Hypergeometric functions and toric varieties, Funktsional. Anal, i Prilozhen 23 (1989), 12-26; English translation, Funct. Anal. Appl. 23 (1989), 94-106.
    • (1989) Funktsional. Anal, I Prilozhen , vol.23 , pp. 12-26
    • Gelfand, I.M.1    Zelevinsky, A.V.2    Kapranov, M.M.3
  • 6
    • 0040048341 scopus 로고
    • Transformations and contiguity relations for Gelfand’s hypergeometric functions
    • Tokyo
    • Horikawa E., Transformations and contiguity relations for Gelfand’s hypergeometric functions, J. Math. Sci. Univ. Tokyo 1 (1994), 181-203.
    • (1994) J. Math. Sci. Univ , vol.1 , pp. 181-203
    • Horikawa, E.1
  • 8
    • 33751512056 scopus 로고
    • Multiple hypergeometric functions and simple Lie algebras SL and Sp
    • Hrabowski J., Multiple hypergeometric functions and simple Lie algebras SL and Sp. SIAM J. Math. Anal. 16 (1985), 876-886.
    • (1985) SIAM J. Math. Anal , vol.16 , pp. 876-886
    • Hrabowski, J.1
  • 9
    • 34247258322 scopus 로고
    • The Lie theory of two-variable hypergeometric functions
    • Kalnins E.G., Manocha H.L. and Miller W., The Lie theory of two-variable hypergeometric functions, Stud. Appl. Math. 62 (1980), 143-173.
    • (1980) Stud. Appl. Math. , vol.62 , pp. 143-173
    • Kalnins, E.G.1    Manocha, H.L.2    Miller, W.3
  • 10
    • 33646081203 scopus 로고
    • Lie theory and generalizations of the hypergeometric functions
    • Miller W., Lie theory and generalizations of the hypergeometric functions, SIAM J. Appl. Math. 25 (1973), 226-235.
    • (1973) SIAM J. Appl. Math. , vol.25 , pp. 226-235
    • Miller, W.1
  • 12
    • 0003547445 scopus 로고
    • Symmetry and Separation of Variables
    • edited by G.-C. Rota, Addison-Wesley, Reading, Massachusetts
    • Miller W., Symmetry and Separation of Variables, Encyclopedia of Mathematics and Its Applications, Vol. 4, edited by G.-C. Rota, Addison-Wesley, Reading, Massachusetts, 1977.
    • (1977) Encyclopedia of Mathematics and Its Applications , vol.4
    • Miller, W.1
  • 13
    • 0002818135 scopus 로고
    • Convex Bodies and Algebraic Geometry-An Introduction to the Theory of Toric Varieties
    • Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo
    • Oda T., Convex Bodies and Algebraic Geometry-An Introduction to the Theory of Toric Varieties, Ergebnisse der Math. (3) 15, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1988.
    • (1988) Ergebnisse Der Math , vol.15 , Issue.3
    • Oda, T.1
  • 14
    • 84972552362 scopus 로고
    • Parameter shift in normal generalized hypergeometric systems
    • Saito M., Parameter shift in normal generalized hypergeometric systems, Tohoku Math. J 44 (1992), 523-534.
    • (1992) Tohoku Math. J , vol.44 , pp. 523-534
    • Saito, M.1
  • 15
    • 0041302325 scopus 로고
    • Normality of affine toric varieties associated with Hermitian symmetric spaces
    • Saito M., Normality of affine toric varieties associated with Hermitian symmetric spaces, J. Math. Soc. Japan 46 (1994), 699-724.
    • (1994) J. Math. Soc. Japan , vol.46 , pp. 699-724
    • Saito, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.