Periodic automorphisms of Takiff algebras, contractions, and $θ$-groups
Abstract
Description
Let $q$ be an algebraic Lie algebra and $q<m>$ a (generalised) Takiff algebra. Any finite order automorphism $θ$ of $q$ induces an automorphisms of $q<m>$ 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 $q<m>$.
21 pages
21 pages