2019/09/04 by Alessandro D’Andrea, Alessandro D'Andrea, Claudia Pinzari +4
Mathematics · Psychology · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Compact quantum group #Converse #FOS: Mathematics #Geometry #Group (periodic table) #Irreducibility #Locally compact group #Locally compact space #Mathematics #Physics #Psychology #Pure mathematics #Quantum #Quantum Algebra (math.QA) #Quantum mechanics #Social connectedness #Social psychology #math.QA
paper · pdf · doi:10.48550/arxiv.1909.02064
8 pages
arxiv created 2019/09/04 · openalex publication_date 2019/09/04 · arxiv updated 2019/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that a natural notion of irreducibility implies connectedness in the Compact Quantum Group setting. We also investigate the converse implication and show it is related to Kaplansky's conjectures on group algebras.