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
收藏
页码：1357 / 1411
页数：55
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