Presents new *-homomorphisms modeling quantum permutations and constructs an intermediate quantum group G with S_N proper subset G subset S_N^+ , equality to S_N^+ left open for N>=6.
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Revises Tutte's determinant formula to prove linear independence of non-crossing partition maps, linking them to easy quantum groups.
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Models of quantum permutations
Presents new *-homomorphisms modeling quantum permutations and constructs an intermediate quantum group G with S_N proper subset G subset S_N^+ , equality to S_N^+ left open for N>=6.
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Linear independences of maps associated to partitions
Revises Tutte's determinant formula to prove linear independence of non-crossing partition maps, linking them to easy quantum groups.