2016/12/03 by Takuya Ikuta, Ikuta, Takuya, Akihiro Munemasa +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Finite Group Theory Research
paper · pdf · doi:10.48550/arxiv.1612.00926
A complex Hadamard matrix is a square matrix W with complex entries of absolute value 1 satisfying WW*=nI, where * stands for the Hermitian transpose and I is the identity matrix of order n. In this paper, we give constructions of complex Hadamard matrices in the Bose-Mesner algebra of a certain 4-class symmetric association scheme. Moreover, we determine the Nomura algebras to show that the resulting matrices are not decomposable into nontrivial generalized tensor products.