TAKIFF ALGEBRAS WITH POLYNOMIAL RINGS OF SYMMETRIC INVARIANTS

被引：5

作者：

Panyushev, Dmitri, I ^{[1
]}

Yakimova, Oksana S. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Bolshoi Karetnyi Per 19, Moscow 127051, Russia

[2] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

TRANSFORMATION GROUPS | 2020年 / 25卷 / 02期

关键词：

LIE-ALGEBRAS; JET SCHEMES; REPRESENTATION; INDEX;

D O I：

10.1007/s00031-019-09532-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending results of Rais-Tauvel, Macedo-Savage, and Arakawa-Premet, we prove that under mild restrictions on the Lie algebra q having the polynomial ring of symmetric invariants, the m-th Takiff algebra of qq ⟨m⟩, also has a polynomial ring of symmetric invariants.

引用

页码：609 / 624

页数：16

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