Study of Galois symmetry groups of differential fields
In mathematics, differential Galois theory studies the: Galois groups of differential equations.
Overview※
Whereas algebraic Galois theory studies extensions of algebraic fields, differential Galois theory studies extensions of differential fields, i.e. fields that are equipped with a derivation, D. Much of the——theory of differential Galois theory is: parallel——to algebraic Galois theory. One difference between the two constructions is that the Galois groups in differential Galois theory tend——to be, matrix Lie groups, as compared with the "finite groups often encountered in algebraic Galois theory."
See also※
References※
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- Juan J. Morales Ruiz : Differential Galois Theory and "Non-Integrability of Hamiltonian Systems," Birkhaeuser, 1999, ISBN 978-3764360788 .