Galois Theory of Differential Equations, Algebraic Groups and Lie Algebras

Journal of Symbolic Computation

Volumn 28, Issue 4-5, 1999, Pages 441-473

  Van Der Put, Marius ^a  

^a Department of Mathematics ^*  (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001748653     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1999.0310     Document Type: Article

References (24)

1. Deligne P. Catégories Tannakiennes. The Grothendieck Festschrift 2. 1990;. p. 111-195.
2. Prog. Math. Birkhäuser, Basel.
3. Deligne P., Milne M. Tannakian Categories. 1982;. p. 101-228.
4. Dynkin E. Maximal subgroups of the classical groups. Trudy Moskov. Mat. Obschetsva. 1:1957;39-160.
5. Am. Math. Soc. Transl. Ser. 2, 6, 245, 378.
6. Fulton W., Harris J. Representation Theory, volume 129, Graduate Texts in Mathematics. 1991;Springer Verlag, New York.
7. ndedn. 1981;Springer Verlag, New York.
8. Jacobson N. Lie Algebras. 1962;Dover, New York.
9. ndedn. 1976;Hermann, Paris.
10. Katz N. A simple algorithm for cyclic vectors. Am. J. Math. 109:1987;65-70.
11. Kolchin E. R. Differential Algebra and Algebraic Groups. 1973;Academic Press, New York.
12. Kovacic J. J. The inverse problem in the Galois theory of differential equations. Ann. Math. 89:1969;583-608.
13. Kovacic J. J. An algorithm for solving second order linear homogeneous differential equations. J. Symb. Comput. 2:1986;3-43.
14. Magid A. In Lectures on Differential Galois Theory, volume 7, University Lecture Series. 1994;American Mathematical Society, Providence, RI.
15. Mitschi C., Singer M. F. Connected linear groups as differential Galois Groups. J. Algbra. 184:1996;333-361.
16. M. van der Put, exp849, volume 1997/98, Astérisque 252, 1998.
17. Ramis J.-P. About the inverse problem in differential galois theory: the differential Abhyankar conjecture. Braaksma B. L. J., Immink G. K., van der Put M. The Stokes Phenomenon and Hilbert's 16th Problem. 1996;World Scientific, Singapore.
18. Ramis J.-P. About the inverse problem in differential Galois theory: the differential Abhyankar conjecture. Bram B. L. J., Im G. K., van der Put M. The Stokes Phenomenon and Hilbert's 16th Problem. 1996;World Scientific, Singapore.
19. Serre J.-P. In Cohomologie Galoisienne, LNM 5. 1964;Springer Verlag, New York.
20. Serre J.-P. Corps Locaux. 1968;Hermann, Paris.
21. Shafarevich I. R. Basic algebraic geometry. Die Grundlehren der Mathematischen Wissenschaften, Band 213. 1974;Springer Verlag, Berlin, Heidelberg, New York.
22. Singer M. F. Moduli of linear differential equations on the Riemann sphere with fixed Galois groups. Pac. J. Math. 106:1993;343-395.
23. Singer M. F., Ulmer F. Galois groups of second and third order differential equations. J. Symb. Comput. 16:1993;9-36.
24. Tretkoff C., Tretkoff M. Solution of the inverse problem of differential Galois theory in the classical case. Am. J. Math. 101:1979;1327-1332.