Linear preservers and representations with a 1-dimensional ring of invariants

H. Bermudez; S. Garibaldi; V. Larsen

arxiv: 1204.2840 · v1 · pith:GYXMRUTUnew · submitted 2012-04-12 · 🧮 math.RT · math.RA

Linear preservers and representations with a 1-dimensional ring of invariants

H. Bermudez , S. Garibaldi , V. Larsen This is my paper

classification 🧮 math.RT math.RA

keywords linearalgebraicdeterminedimensionalfunctiongroupgroupsinteresting

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We determine the group of linear transformations on a vector space $V$ that preserve a polynomial function $f$ on $V$ for several interesting pairs $(V,f)$, using the theory of semisimple algebraic groups.

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Linear preservers and representations with a 1-dimensional ring of invariants

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