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arXiv · 1710.03180

Takiff algebras with polynomial rings of symmetric invariants

Dmitri Panyushev·Oksana Yakimova
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Abstract

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

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BibTeXRIS

Dmitri Panyushev, Oksana Yakimova. 2017-10-09. Takiff algebras with polynomial rings of symmetric invariants. https://arxiv.org/abs/1710.03180

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