Title of article
Equivariant vector fields on non-trivial SOn-torsors and differential Galois theory
Author/Authors
Lourdes Juan، نويسنده , , Arne Ledet، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
11
From page
735
To page
745
Abstract
We show how to produce SOn-equivariant vector fields on non-trivial SOn-torsors which correspond to quadratic forms non-equivalent to the unit form. For n 3 we then give an example of a Picard–Vessiot extension with group SOn which is the function field of a non-trivial SOn-torsor.
Keywords
Differential Galois theory , quadratic forms , Special orthogonal groups , Torsors , Galois cohomology , Picard–Vessiot extensions
Journal title
Journal of Algebra
Serial Year
2007
Journal title
Journal of Algebra
Record number
698305
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