Abstract
We axiomatize and study the matrices of type having unitary entries and whose rows and columns are subject to orthogonality-type conditions. Here can be any -algebra, for instance , where we obtain the usual complex Hadamard matrices, or , where we obtain the continuous families of complex Hadamard matrices. Our formalism allows the construction of a quantum permutation group , whose structure and computation are discussed here.
Citation
Teodor Banica. "Complex Hadamard matrices with noncommutative entries." Ann. Funct. Anal. 9 (3) 354 - 368, August 2018. https://doi.org/10.1215/20088752-2017-0042
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