Dual Cones and the Voronoi Algorithm

Opgenorth, Jürgen

Experiment. Math., Tome 10 (2001) no. 3, p. 599-608 / Harvested from Project Euclid

Résumé

Max Koecher's axiomatic treatment of self-dual cones is generalized to pairs of dual cones. This leads to a powerful algorithm, à la Voronoi, to calculate the normalizer $N_{\GL_n(\funnyZ )}(G)$ and to decide conjugacy in $\GL_n(\funnyZ )$ for finite unimodular groups $G\leq \GL_n(\funnyZ )$.

Publié le : 2001-05-14
Classification:

@article{1069855259,
     author = {Opgenorth, J\"urgen},
     title = {Dual Cones and the Voronoi Algorithm},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 599-608},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1069855259}
}

Opgenorth, Jürgen. Dual Cones and the Voronoi Algorithm. Experiment. Math., Tome 10 (2001) no. 3, pp.  599-608. http://gdmltest.u-ga.fr/item/1069855259/