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Quantum symmetry

Snapshots of modern mathematics from Oberwolfach

Quantum symmetry

The symmetry of objects plays a crucial role in many branches of mathematics and physics. It allowed, for example, the early prediction of the existence of new small particles. “Quantum symmetry” concerns a generalized notion of symmetry. It is an abstract way of characterizing the symmetry of a much richer class of mathematical and physical objects. In this snapshot we explain how quantum symmetry emerges as matrix symmetries using a famous example: Mer- min’s magic square. It shows that quantum symme- tries can solve problems that lie beyond the reach of classical symmetries, showing that quantum symme- tries play a central role in modern mathematics.

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Mathematical subjects

Analysis

Connections to other fields

Physics

Author(s)

Martijn Caspers

License

DOI (Digital Object Identifier)

10.14760/SNAP-2021-009-EN

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snapshots-2020-009.pdf

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snapshots: overview

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      Connections to other fields

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