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Bibliographic Details
Main Authors: Bencze, Tamás, Frenkel, Péter E.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.13421
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author Bencze, Tamás
Frenkel, Péter E.
author_facet Bencze, Tamás
Frenkel, Péter E.
contents We introduce the triangulant of two matrices, and relate it to the existence of orthogonal eigenvectors. We also use it for a new characterization of mutually unbiased bases. Generalizing the notion, we introduce higher order triangulants of two matrices, and relate them to the existence of nontrivially intersecting invariant subspaces of complementary dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13421
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The triangulant
Bencze, Tamás
Frenkel, Péter E.
Algebraic Geometry
Rings and Algebras
We introduce the triangulant of two matrices, and relate it to the existence of orthogonal eigenvectors. We also use it for a new characterization of mutually unbiased bases. Generalizing the notion, we introduce higher order triangulants of two matrices, and relate them to the existence of nontrivially intersecting invariant subspaces of complementary dimensions.
title The triangulant
topic Algebraic Geometry
Rings and Algebras
url https://arxiv.org/abs/2406.13421