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arXiv · 1802.07131

Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants

Dmitri I. Panyushev·Oksana S. Yakimova
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Abstract

This is a part of an ongoing project, the goal of which is to classify all semi-direct products $\mathfrak s=\mathfrak g{\ltimes} V$ such that $\mathfrak g$ is a simple Lie algebra, $V$ is a $\mathfrak g$-module, and $\mathfrak s$ has a free algebra of symmetric invariants. In this paper, we obtain such a classification for the representations of the orthogonal and symplectic algebras.

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BibTeXRIS

Dmitri I. Panyushev, Oksana S. Yakimova. 2018-02-20. Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants. https://arxiv.org/abs/1802.07131

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