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arXiv · 2412.00583

The Topology of the Unitary Dual of Crystallography Groups

Frankie Chan·Ellen Weld
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Abstract

We provide a procedure for generating the irreducible representations of crystallography groups in any dimension. We also furnish a strategy to investigate the topology of the unitary dual of a crystallography group using sequences of matrices. All irreducible representations (up to unitary equivalence) of the dimension 3 crystallography group 90 and some calculations involving sequences of these irreducible representations are included as a proof of concept of this procedure and strategy.

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Frankie Chan, Ellen Weld. 2024-11-30. The Topology of the Unitary Dual of Crystallography Groups. https://arxiv.org/abs/2412.00583

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