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arXiv · 0710.2113

Periodic automorphisms of Takiff algebras, contractions, and $θ$-groups

Dmitri I. Panyushev
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Abstract

Let $q$ be an algebraic Lie algebra and $q $ a (generalised) Takiff algebra. Any finite order automorphism $θ$ of $q$ induces an automorphisms of $q $ of the same order, denoted $Θ$. We study invariant-theoretic properties of representations of the fixed point subalgebra of $Θ$ on other eigenspaces of $Θ$ in $q $.

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BibTeXRIS

Dmitri I. Panyushev. 2007-10-10. Periodic automorphisms of Takiff algebras, contractions, and $θ$-groups. https://arxiv.org/abs/0710.2113

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