The moving frame method and invariant subspace under parametric group actions

Journal of Linear and Topological Algebra

دوره 10، شماره 03، آذر 2021، صفحه 217-224   

نوع مقاله: Research Paper

نویسندگان

Y. Alipour Fakhri^* ؛ Y. Azadi

Department of Mathematics, Payame Noor University, Tehran, Iran

چکیده

‎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.

کلیدواژه‌ها

First integral؛ moving frame؛ group action؛ differential equation؛ invariant subspace

مراجع

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