MAXIMAL TORUS THEORY FOR COMPACT QUANTUM GROUPS

摘要

Associated to any compact quantum group G C UN+ is a canonical family of group dual subgroups Tq C G, parametrized by unitaries Q ∈ Un , playing the role of "maximal tori" for G. We present here a series of conjectures, relating the various algebraic and analytic properties of G to those of the family {Fq|Q ∈ Un}-