most recent 30 from http://mathoverflow.net 2013-06-19T14:41:28Z http://mathoverflow.net/feeds/question/51219 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/51219/degeneracies-and-symmetry-group-representations Eslam 2011-01-05T17:02:19Z 2011-01-05T17:02:19Z

<p>If I have a matrix that has only one non-trivial symmetry and thus the irreducible representations of the symmetry group are two one-dimensional representations (the one that assigns 1 to both operations and the one that assigns one to the identity and -1 to the other symmetry operation) and if my symmetry group reduces in this case to $c_1 R_1 \oplus c_2 R_2$, where $R_1$ and $R_2$ are the two representations. What can I deduce about the number of eigenvalues and their degeneracies.</p>