Symmetry in semidefinite programs
Vallentin, Frank
arXiv, 0706.4233 / Harvested from arXiv
This paper is a tutorial in a general and explicit procedure to simplify semidefinite programs which are invariant under the action of a symmetry group. The procedure is based on basic notions of representation theory of finite groups. As an example we derive the block diagonalization of the Terwilliger algebra of the binary Hamming scheme in this framework. Here its connection to the orthogonal Hahn and Krawtchouk polynomials becomes visible.
Publié le : 2007-06-28
Classification:  Mathematics - Optimization and Control,  Mathematics - Combinatorics,  90C22, 33C90
@article{0706.4233,
     author = {Vallentin, Frank},
     title = {Symmetry in semidefinite programs},
     journal = {arXiv},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0706.4233}
}
Vallentin, Frank. Symmetry in semidefinite programs. arXiv, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/0706.4233/