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Can I read Solutions of Algebraic Linear Ordinary Differential Equations on EtoBox?
Solutions of Algebraic Linear Ordinary Differential Equations by Camilo Sanabria Malagón is a Mathematics article available to read on EtoBox.
What is Solutions of Algebraic Linear Ordinary Differential Equations about?
A classical result of Klein states that, given a finite primitive group G ⊆ SL 2 (C), there exists a hypergeometric equation such that every second order LODE whose differential Galois group is isomorphic to G is projectively equivalent to the pullback by a rational map of this hypergeometric equation. In this paper, we generalize this result. We show that, given a finite primitive group G ⊆ SL n (C), there exist a positive integer d = d(G) and a standard equation such that every LODE whose differential Galois group is isomorphic to G is gauge equivalent, over a field extension F of degree d, to an equation projectively equivalent to the pullback by a map in F of this standard equation. For n = 3, these standard equations can be chosen to be hypergeometric.
Who reads Solutions of Algebraic Linear Ordinary Differential Equations?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Camilo Sanabria Malagón
- Publisher
- Elsevier BV
- Published
- 2022
- Language
- EN
- Field
- Mathematics (Physical Sciences)