Quantum groups and Hadamard matrices

Details Quantum groups and Hadamard matrices Quantum groups and Hadamard matrices

2006-10-17

arxiv.org/abs/math/0610529v1

Panamer. Math. J. 17 (2007), 1-24

Mathematics

Operator Algebras

22 pages

Scientific paper

To any complex Hadamard matrix we associate a quantum permutation group. The
correspondence is not one-to-one, but the quantum group encapsulates a number
of subtle properties of the matrix. We investigate various aspects of the
construction: compatibility to product operations, characterization of matrices
which give usual groups, explicit computations for small matrices.

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