What can one reconstruct from the representation ring of a compact group?
Zimboras, Zoltan
arXiv, 0512107 / Harvested from arXiv
Text on arXiv
It is well known that there exist non-isomorphic compact groups with isomorphic representation rings (fusion rules). Nevertheless, considerable structural information about the group can be reconstructed from its representation ring. We review these types of partial reconstruction theorems, including some recent results. In the Appendix a derivation of the Clebsch-Gordan series of SU(2) based only on information about the dimensions of the irreps is presented.
Publié le : 2005-12-05
Classification:  Mathematics - Group Theory,  Mathematical Physics,  Mathematics - Representation Theory 
@article{0512107,
     author = {Zimboras, Zoltan},
     title = {What can one reconstruct from the representation ring of a compact
  group?},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0512107}
}

Zimboras, Zoltan. What can one reconstruct from the representation ring of a compact
  group?. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512107/