A pr 2 00 1 ON A GENERIC INVERSE DIFFERENTIAL GALOIS PROBLEM FOR GL

نویسنده

  • LOURDES JUAN
چکیده

In this paper we construct a generic Picard-Vessiot extension for the general linear groups. In the case when the differential base field has finite transcen-dence degree over its field of constants we provide necessary and sufficient conditions for solving the inverse differential Galois problem for this groups via specialization from our generic extension.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

2 3 M ar 2 00 4 On the Constructive Inverse Problem in Differential Galois Theory Claude

We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G = H × G, H finite and G = ∏Gi where each Gi is SLni or Sp2ni , ni ≥ 2, we construct a differential equation over C(x) having Galois group G.

متن کامل

N ov 2 00 4 On the Constructive Inverse Problem in Differential Galois Theory

We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G with G0 = G1 · . . . · Gr where each Gi is a simple group of type Al, Cl, Dl, E6 or E7, we construct a differential equation over C(x) having Galois group G.

متن کامل

J un 2 00 5 On the Constructive Inverse Problem in Differential Galois Theory

We give sufficient conditions for a differential equation to have a given semisimple group as its Galois group. For any group G with G0 = G1 · . . . · Gr where each Gi is a simple group of type Al, Cl, Dl, E6 or E7, we construct a differential equation over C(x) having Galois group G.

متن کامل

PRINCIPAL DIFFERENTIAL IDEALS AND A GENERIC INVERSE DIFFERENTIAL GALOIS PROBLEM FOR GLn

We characterize the principal differential ideals of a polynomial ring in n indeterminates with coefficients in the ring of differential polynomials in n indeterminates and derivation given by a “general” element of Lie(GLn) and use this characterization to construct a generic Picard-Vessiot extension for GLn. In the case when the differential base field has finite transcendence degree over its...

متن کامل

0 on a Generic Inverse Differential Galois Problem

Let F be a differential field with algebraically closed field of constants C.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001