User Tools

Site Tools


quantum_group

Quantum group

Symmetry in non-commutative geometry

A quantum group is (sort of) generalization of a group. Roughly, one replaces a group $G$ by a matrix-analog of the space of functions $\mathrm{Fun}(G,\mathbb{C})$. They appear in the study of symmetries in non-commutative geometry, but also in representation theory of Lie algebras, knot theory, and many other areas.

Material

An article in the series Snapshots of modern mathematics from Oberwolfach giving a very elementary introduction:

  • Lie algebras
  • Hopf algebras
quantum_group.txt · Last modified: 2021/11/15 21:22 by alex_th