Local-A-packets
This is a SAGE code for local A-packets of classical groups.
By this code, one can compute the following:
- Highest derivatives (in the sense of Janzten-Minguez) of irreducible representations;
- Socles of certain parabolically induced representations;
- Aubert duals of irreducible representations;
- Langlands data for the representations associated to extended multi-segments;
- Local A-packets of classical groups;
- Characters of component groups associated to extended multi-segments;
- Aubert duals of extended multi-segments;
- The strongly equivalence class of a given extended multi-segment;
- Determination if a given irreducible representation is of Arthur type or not;
- Decomposition of the socles of the representations parabolically induced from shifted Speh representations and representations of Arthur type;
- Irreducibility of such parabolically induced representations;
- First reducibility point for such parabolically induced representations.