Integration over the Pauli Quantum Group
نویسنده
چکیده
The notion of free quantum group appeared in Wang’s papers [17], [18]. The idea is that given a compact group G ⊂ Un, the matrix coordinates uij ∈ C(G) commute with each other, and satisfy certain relations R. One can define then the universal algebra A generated by abstract variables uij, subject to the relations R. In certain situations we get a Hopf algebra in the sense of Woronowicz [20], and we have the heuristic formula A = C(G). Here G is a compact quantum group, called free version of G. The free version is not unique, because it depends on R. This construction is not axiomatized, and there are only a few examples:
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