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


Connections to other fields



Martijn Caspers


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snapshots: overview

Mathematical subjects

Algebra and Number Theory
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Humanities and Social Sciences
Life Science
Reflections on Mathematics

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