Specification: Weight Lattice Elements (OSCAR v1.3)

Profiles: OSCAR v1.3 Other versions: Weight Lattice Elements (OSCAR v1.4-v1.8)

In OSCAR v1.3, WeightLatticeElem already uses a typed _type object, but its referenced WeightLattice payload still stores root_system under data.

Encoding Notes

• Use _type.name = "WeightLatticeElem".
• Store coordinates under data.
• Refer to the parent lattice according to the OSCAR v1.3 WeightLattice encoding.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.3.1"]},
  "_type": {"name": "WeightLatticeElem", "params": "17f32d27-551e-46af-95ac-99e6686d2fc2"},
  "data": ["1", "-2", "3", "0", "2", "-1"],
  "_refs": {
    "17f32d27-551e-46af-95ac-99e6686d2fc2": {"_type": "WeightLattice", "data": {"root_system": "c329b055-e238-477e-964e-2fc2db5758ed"}},
    "c329b055-e238-477e-964e-2fc2db5758ed": {
      "_type": "RootSystem",
      "data": {
        "cartan_matrix": [
          ["2", "-1", "0", "0", "0", "0"],
          ["-1", "2", "0", "0", "0", "0"],
          ["0", "0", "2", "-1", "0", "0"],
          ["0", "0", "-1", "2", "-1", "0"],
          ["0", "0", "0", "-1", "2", "-1"],
          ["0", "0", "0", "0", "-2", "2"]
        ],
        "type": [["A", "2"], ["B", "4"]]
      }
    }
  }
}

Documented Profiles in This Corpus

This table records the profile/version pairs currently represented by the rosetta-stone examples for this data type. Add new rows as new systems or encoding revisions are documented.

Rosetta Stone Examples

• Element of weight lattice