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arXiv · 2012.07914

Maximality of Laplacian Algebras, with Applications to Invariant Theory

Ricardo A. E. Mendes·Marco Radeschi
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Abstract

We show Laplacian algebras are maximal, and give applications to the Classical Invariant Theory of real orthogonal representations of compact groups, including: The solution of the Inverse Invariant Theory problem for finite groups. An if-and-only-if criterion for when a separating set is a generating set. And the introduction of a class of generalized polarizations which, in a certain class of representations (including all representations of finite groups), always generates the algebra of invariants of their diagonal representations.

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BibTeXRIS

Ricardo A. E. Mendes, Marco Radeschi. 2020-12-14. Maximality of Laplacian Algebras, with Applications to Invariant Theory. https://doi.org/10.1007/s10231-022-01269-9

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