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arXiv · 2603.20158

The classification problem for unitary R-Matrices with two eigenvalues

Gandalf Lechner
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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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Gandalf Lechner. 2026-03-20. The classification problem for unitary R-Matrices with two eigenvalues. https://arxiv.org/abs/2603.20158

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