Modelling questions for transitive quantum groups

2017/11/08 by Banica, Teo, Chirvasitu, Alexandru
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1711.03206

Abstract

This is a survey on the transitive quantum groups G⊂ S_N⁺, and on the flat matrix models π:C(G)→ M_N(C(X)) for the corresponding Hopf algebras. We review the known results on the subject, with a number of improvements, technical generalizations, and some new results as well, and we discuss the open problems.

Related

• Topological generation and matrix models for quantum reflection groups
• Models of quantum permutations
• Partition C*-algebras II - Links to Compact Matrix Quantum Groups
• Lectures on Hopf Algebras, Quantum Groups and Twists
• Multi-parameter Quantum Groups via Quantum Quasi-Symmetric Algebras