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.
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页码：609 / 624
页数：16
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