Finding a Peter-Weyl Basis for Small Representations of O

McDonald, Alexander2015-06-242015-06-242015-05-112015-05-11http://hdl.handle.net/10393/32488We review the basic theory of compact quantum groups. We study thire quantum Peter-Weyl theory and the Woronowicz-Tannaka-Krein theorem. In the last chapter we discuss the orthogonal quantum group O+ N and nd an orthogonal basis of the invariant subspace for n = 2; 3 and a partial result for n = 4.enCompact Quantum GroupOrthogonal Quantum GroupO_N^+Tannaka-KreinPeter-WeylFinding a Peter-Weyl Basis for Small Representations of O_N^+Other