Linear groups L₂(q) for large q

Here we list the low-dimensional representations for the groups L₂(q) with q > 31. We classify them as follows:

• Weil representations: the smallest degree representation, which only exists for q odd. It has dimension (q+1)/2 or (q-1)/2.
• Cuspidal representations: these have dimension q-1.
• Steinberg representation: this is the unique irreducible representation of dimension q.
• Borel representations: these have dimension q+1, and are induced from 1-dimensional representations of a Borel subgroup.

Last generated on Sat Sep 24 19:02:47 2005