Compact quantum ergodic systems
Copyright policy )Compact quantum ergodic systems
We develop theory of multiplicity maps for compact quantum groups, as an application, we obtain a complete classification of right coideal $C^*$-algebras of $C(SU_q(2))$ for $q\in [-1,1]\setminus \{0\}$. They are labeled with Dynkin diagrams, but classification results for positive and negative cases of $q$ are different. Many of the coideals are quantum spheres or quotient spaces by quantum subgroups, but we do have other ones in our classification list.
86 pages, minor correct
- University of Tokyo Japan
Right coideals, compact quantum groups, 46L65, right coideals, Mathematics - Operator Algebras, ergodic actions, Quantizations, deformations for selfadjoint operator algebras, Geometry of quantum groups, Mathematics - Quantum Algebra, Compact quantum groups, FOS: Mathematics, Quantum Algebra (math.QA), Ergodic actions, Operator Algebras (math.OA), Quantum groups and related algebraic methods applied to problems in quantum theory, Analysis
Right coideals, compact quantum groups, 46L65, right coideals, Mathematics - Operator Algebras, ergodic actions, Quantizations, deformations for selfadjoint operator algebras, Geometry of quantum groups, Mathematics - Quantum Algebra, Compact quantum groups, FOS: Mathematics, Quantum Algebra (math.QA), Ergodic actions, Operator Algebras (math.OA), Quantum groups and related algebraic methods applied to problems in quantum theory, Analysis
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).10 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!