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- W4287184021 abstract "Given two tuples of subspaces, can you tell whether the tuples are isomorphic? We develop theory and algorithms to address this fundamental question. We focus on isomorphisms in which the ambient vector space is acted on by either a unitary group or general linear group. If isomorphism also allows permutations of the subspaces, then the problem is at least as hard as graph isomorphism. Otherwise, we provide a variety of polynomial-time algorithms with Matlab implementations to test for isomorphism. Keywords: subspace isomorphism, Grassmannian, Bargmann invariants, $H^ast$-algebras, quivers, graph isomorphism" @default.
- W4287184021 created "2022-07-25" @default.
- W4287184021 creator A5015279113 @default.
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- W4287184021 date "2021-05-07" @default.
- W4287184021 modified "2023-09-23" @default.
- W4287184021 title "Testing isomorphism between tuples of subspaces" @default.
- W4287184021 doi "https://doi.org/10.48550/arxiv.2105.03448" @default.
- W4287184021 hasPublicationYear "2021" @default.
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