The classification problem for unitary R-Matrices with two eigenvalues
Quantum Algebra
2026-03-23 v1 Mathematical Physics
math.MP
Abstract
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.
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Cite
@article{arxiv.2603.20158,
title = {The classification problem for unitary R-Matrices with two eigenvalues},
author = {Gandalf Lechner},
journal= {arXiv preprint arXiv:2603.20158},
year = {2026}
}
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18 pages