Global Lie–Tresse theorem

Autores: Boris Kruglikov, Valentin Lychagin
Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 3, 2016, págs. 1357-1411
Idioma: inglés
DOI: 10.1007/s00029-015-0220-z
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Resumen
- We prove a global algebraic version of the Lie–Tresse theorem which states that the algebra of differential invariants of an algebraic pseudogroup action on a differential equation is generated by a finite number of rational-polynomial differential invariants and invariant derivations.