Differential Invariants for Infinite-Dimensional Algebras
Irina Yehorchenko
TL;DR
This paper introduces a method for constructing functional bases of differential invariants for certain infinite-dimensional algebras, including an example involving the infinite-dimensional Poincare-type algebra.
Contribution
It develops a novel approach to find differential invariants for infinite-dimensional algebras with arbitrary function coefficients, expanding the tools available for symmetry analysis.
Findings
Constructed functional bases of differential invariants for specific infinite-dimensional algebras.
Provided an explicit example for the infinite-dimensional Poincare-type algebra.
Enhanced understanding of invariants in the context of infinite-dimensional symmetry algebras.
Abstract
We present an approach for construction of functional bases of differential invariants for some infinite-dimensional algebras with coefficients of generating operators depending on arbitrary functions. An example for the infinite-dimensional Poincare-type algebra is given.
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Taxonomy
TopicsNumerical methods for differential equations · Advanced Topics in Algebra · Polynomial and algebraic computation