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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139808Let $q$ 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 pagesRepresentation TheoryAlgebraic Geometry14L30; 17BPeriodic automorphisms of Takiff algebras, contractions, and $θ$-groupstext