The classification problem for unitary R-Matrices with two eigenvalues

Fuente: arXiv
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Autore principale: Lechner, Gandalf
Natura: Preprint
Pubblicazione: 2026
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author Lechner, Gandalf
author_facet Lechner, Gandalf
contents The problem of classifying all unitary R-matrices of arbitrary finite dimension that have precisely two distinct eigenvalues is described, working up to a natural equivalence relation given by the characters of their braid group representations. Up to one class that might or might not exist in even dimension larger than two, a full classification theorem is obtained.
format Preprint
id arxiv_https___arxiv_org_abs_2603_20158
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The classification problem for unitary R-Matrices with two eigenvalues
Lechner, Gandalf
Quantum Algebra
Mathematical Physics
The problem of classifying all unitary R-matrices of arbitrary finite dimension that have precisely two distinct eigenvalues is described, working up to a natural equivalence relation given by the characters of their braid group representations. Up to one class that might or might not exist in even dimension larger than two, a full classification theorem is obtained.
title The classification problem for unitary R-Matrices with two eigenvalues
topic Quantum Algebra
Mathematical Physics
url https://arxiv.org/abs/2603.20158