Towards a bilipschitz invariant theory

Consider the quotient of a Hilbert space by a subgroup of its automorphisms. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we identify constraints on such embeddings.

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Bibliographic Details
Published inApplied and computational harmonic analysis Vol. 72; p. 101669
Main Authors Cahill, Jameson, Iverson, Joseph W., Mixon, Dustin G.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2024
Subjects
Bilipschitz embeddings
Group actions
Invariants
Bilipschitz embeddings
Invariants
Group actions
Online AccessGet full text
ISSN1063-5203
1096-603X
DOI10.1016/j.acha.2024.101669

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Summary:Consider the quotient of a Hilbert space by a subgroup of its automorphisms. We study whether this orbit space can be embedded into a Hilbert space by a bilipschitz map, and we identify constraints on such embeddings.
ISSN:1063-5203
1096-603X
DOI:10.1016/j.acha.2024.101669