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- W3098481502 abstract "A complex Hadamard matrix is a square matrix H with complex entries of absolute value 1 satisfying $HH^*= nI$, where $*$ stands for the Hermitian transpose and I is the identity matrix of order $n$. In this paper, we first determine the image of a certain rational map from the $d$-dimensional complex projective space to $mathbb{C}^{d(d+1)/2}$. Applying this result with $d=3$, we give constructions of complex Hadamard matrices, and more generally, type-II matrices, in the Bose-Mesner algebra of a certain 3-class symmetric association scheme. In particular, we recover the complex Hadamard matrices of order 15 found by Ada Chan. We compute the Haagerup sets to show inequivalence of resulting type-II matrices, and determine the Nomura algebras to show that the resulting matrices are not decomposable into generalized tensor products." @default.
- W3098481502 created "2020-11-23" @default.
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- W3098481502 date "2015-01-07" @default.
- W3098481502 modified "2023-09-23" @default.
- W3098481502 title "Complex Hadamard Matrices contained in a Bose–Mesner algebra" @default.
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- W3098481502 doi "https://doi.org/10.1515/spma-2015-0009" @default.
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