Specification: Weight Lattice Elements (OSCAR v1.4-v1.8)

Profiles: OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7, OSCAR v1.8 Other versions: Weight Lattice Elements (OSCAR v1.3)

WeightLatticeElem is currently documented in the OSCAR v1.7 profile through the rosetta-stone corpus. This page records the present encoding shape and should be read as a profile-specific type description.

Encoding Notes

• Set _type to "WeightLatticeElem" when this type appears at the root of a serialized object.
• Interpret the payload under data according to the active namespace and profile version.
• Follow the linked examples for the currently documented payload shape and referenced ambient objects.

Canonical Example Payload

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

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.7.0"]},
  "_type": {"name": "WeightLatticeElem", "params": "45689013-5109-4d3a-a9b4-72f9056b8c25"},
  "data": ["1", "-2", "3", "0", "2", "-1"],
  "_refs": {
    "45689013-5109-4d3a-a9b4-72f9056b8c25": {
      "_type": {"name": "WeightLattice", "params": "94ff9b63-ec4a-4627-ab98-c2620014235c"},
      "data": {}
    },
    "94ff9b63-ec4a-4627-ab98-c2620014235c": {
      "_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