"G-Invariant Representations and their Lipschitz Properties"Balan, RaduConsider a finite dimensional real vector space and a finite group acting unitarily on it. We study the general problem of constructing Euclidean stable embeddings of the quotient space of orbits. Our embedding is based on subsets of sorted coorbits. One result examines the conditions under which such embeddings are injective. The other result shows that, any such embedding if it is injective it is also globally bi-Lipschitz. This talk is based on joint works with Efstratios Tsoukanis and Matthias Wellershoff. |
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