This is a presentation of recent work on quantum permutation groups, complex Hadamard matrices, and the connections between them. A long list of problems is included. We include as well some conjectural statements about matrix models.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-1,
author = {Teodor Banica},
title = {Quantum permutations, Hadamard matrices, and the search for matrix models},
journal = {Banach Center Publications},
volume = {97},
year = {2012},
pages = {11-42},
zbl = {1269.46045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-1}
}
Teodor Banica. Quantum permutations, Hadamard matrices, and the search for matrix models. Banach Center Publications, Tome 97 (2012) pp. 11-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-1/