Global Lie-Tresse theorem

被引：58

作者：

Kruglikov, Boris ^{[1
]}

Lychagin, Valentin ^{[1
]}

机构：

[1] Univ Tromso, Inst Math & Stat, N-9037 Tromso, Norway

来源：

SELECTA MATHEMATICA-NEW SERIES | 2016年 / 22卷 / 03期

关键词：

Algebraic group; Pseudogroup action; Rational differential invariant; Invariant derivation; Tresse derivative; Differential syzygy; Orbits separation; Spencer cohomology; RANK; 2; DISTRIBUTIONS; CLASSIFICATION; PSEUDOGROUPS; INVARIANTS; FINITENESS;

D O I：

10.1007/s00029-015-0220-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1357 / 1411

页数：55

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