@article{JTNB_2013__25_1_99_0, author = {Karpenkov, Oleg}, title = {Multidimensional {Gauss} reduction theory for conjugacy classes of $\mathrm{SL}(n,\mathbb{Z})$}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {99--109}, publisher = {Soci\'et\'e Arithm\'etique de Bordeaux}, volume = {25}, number = {1}, year = {2013}, doi = {10.5802/jtnb.828}, zbl = {1273.11111}, mrnumber = {3063833}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.828/} }