Difference Galois theory of linear differential equations

@article{Vizio2013DifferenceGT,
  title={Difference Galois theory of linear differential equations},
  author={Lucia Di Vizio and Charlotte Hardouin and Michael Wibmer},
  journal={arXiv: Commutative Algebra},
  year={2013}
}
  • Lucia Di Vizio, Charlotte Hardouin, Michael Wibmer
  • Published 2013
  • Mathematics
  • arXiv: Commutative Algebra
  • We develop a Galois theory for linear differential equations equipped with the action of an endomorphism. This theory is aimed at studying the difference algebraic relations among the solutions of a linear differential equation. The Galois groups here are linear difference algebraic groups, i.e., matrix groups defined by algebraic difference equations. 
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