Quantum symmetry

Instantanés de recherche mathématique à 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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Sujet mathématique

Analyse

Liens avec d'autres domaines

Physique

Auteur(s)

Martijn Caspers

Licence

DOI

10.14760/SNAP-2021-009-EN

Télécharger PDF

snapshots-2020-009.pdf

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snapshots: overview

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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