The classification problem for unitary R-Matrices with two eigenvalues

Lechner G (2026)

Publication Status: In review

Publication Type: Unpublished / Preprint

Future Publication Type: Journal article

Publication year: 2026

URI: https://arxiv.org/abs/2603.20158

DOI: 10.48550/arXiv.2603.20158

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.

Authors with CRIS profile

Gandalf Lechner Lehrstuhl für Mathematik (Operatoralgebren) (Heisenberg-Professur)

How to cite

APA:

Lechner, G. (2026). The classification problem for unitary R-Matrices with two eigenvalues. (Unpublished, In review).

MLA:

Lechner, Gandalf. The classification problem for unitary R-Matrices with two eigenvalues. Unpublished, In review. 2026.

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