Linear maps preserving invariants

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dc.creatorSchwarz, Gerald W.
dc.date2007-08-21
dc.date2007-11-13
dc.date.accessioned2026-07-07T08:42:11Z
dc.date.available2026-07-07T08:42:11Z
dc.descriptionLet $G\subset\GL(V)$ be a complex reductive group. Let $G'$ denote $\{ϕ\in\GL(V)\mid p\circϕ=p\text{for all} p\in\C[V]^G\}$. We show that, in general, $G'=G$. In case $G$ is the adjoint group of a simple Lie algebra $\lieg$, we show that $G'$ is an order 2 extension of $G$. We also calculate $G'$ for all representations of $\SL_2$.
dc.descriptionminor changes
dc.identifierhttps://arxiv.org/abs/0708.2890
dc.identifierhttp://arxiv.org/abs/0708.2890
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141876
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20G20, 22E46, 22E60
dc.titleLinear maps preserving invariants
dc.typetext

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