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

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

2012-04-12

arxiv.org/abs/1204.2840v1

Mathematics

Representation Theory

Scientific paper

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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