Title of article
The moving frame method and invariant subspace under parametric group actions
Author/Authors
Alipour Fakhri, Y Department of Mathematics - Payame Noor University - Tehran, Iran , Azadi, Y Department of Mathematics - Payame Noor University - Tehran, Iran
Pages
8
From page
217
To page
224
Abstract
For a given subspace as a solution space of a linear ODE, we define a special
linear parametric group action and prolong it to the jet bundle. We determine these group
parameters by moving frame method and prove that these group parameters are the first
integrals of the given ODE. These first integrals are used to construct the general form of
operators which preserve given subspace invariant
Keywords
invariant operator , invariant subspace , differential equation , group action , moving frame , First integral
Journal title
Journal of Linear and Topological Algebra
Serial Year
2021
Record number
2685973
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