Equivariant vector fields on non-trivial SOn-torsors and differential Galois theory
نویسندگان
چکیده
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. © 2007 Elsevier Inc. All rights reserved.
منابع مشابه
Equivariant Vector Fields on Non-trivial So3-torsors and Differential Galois Theory
We show how to produce SO3-equivariant vector fields on non-trivial SO3-torsors which correspond to quadratic forms non-equivalent to the unit form. We then show an example of a Picard-Vessiot extension with group SO3 which is the function field of a non-trivial SO3-torsor.
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