Finding a Peter-Weyl Basis for Small Representations of O_N^+
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Abstract
We 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.
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Keywords
Compact Quantum Group, Orthogonal Quantum Group, O_N^+, Tannaka-Krein, Peter-Weyl