Quantum invariants of deformed Fourier matrices

Abstract

We study the deformed tensor products of complex Hadamard matrices, $L_{ia,jb}=Q_{ib}{H}_{ij}{K}_{ab}$. One problem is that of reconstructing the quantum group $G_L\subset S_{NM}^{+}$ out of the quantum groups $G_H\subset S_N^{+},G_K\subset S_M^{+}$ and of the parameter matrix $Q\in M_{N\times M}(\mathbb{T})$, and we obtain here several results, including complete results in the Fourier matrix case, $H=F_N,K=F_M$, when the parameter matrix $Q$ is generic.

Withdrawn by the authors - the main findings in this paper are now part of arXiv:1402.1048

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Cited by in corpus (1)

• Algebraic invariants of truncated Fourier matrices