Quantum groups and Hadamard matrices
Operator Algebras
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0610529,
title = {Quantum groups and Hadamard matrices},
author = {Teodor Banica and Remus Nicoara},
journal= {arXiv preprint arXiv:math/0610529},
year = {2007}
}
Comments
22 pages